122
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 186
- Proper Divisor Sum (Aliquot Sum)
- 64
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 60
- Möbius Function
- 1
- Radical
- 122
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 20
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertzweiundzwanzig· ordinal: einshundertzweiundzwanzigste
- English
- one hundred twenty-two· ordinal: one hundred twenty-second
- Spanish
- ciento veintidós· ordinal: 122º
- French
- cent vingt-deux· ordinal: cent vingt-deuxième
- Italian
- centoventidue· ordinal: 122º
- Latin
- centum viginti duo· ordinal: 122.
- Portuguese
- cento e vinte e dois· ordinal: 122º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=24A000009
- Number of n-bead necklaces (turning over is allowed) where complements are equivalent.at n=12A000011
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=61A000069
- Number of even sequences with period 2n (bisection of A000011).at n=6A000117
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=38A000134
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=10A000223
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=63A000379
- Numbers that are the sum of 2 nonzero squares.at n=42A000404
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=40A000415
- n written in base where place values are positive cubes.at n=45A000433
- 1 together with products of 2 or more distinct primes.at n=45A000469
- A Beatty sequence: [ n(e+1) ].at n=32A000572
- Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=15A000784
- Numbers beginning with a vowel in English.at n=36A000852
- Numbers ending with a vowel in American English.at n=54A000861
- Numbers beginning with letter 'o' in English.at n=23A000865
- n! never ends in this many 0's.at n=22A000966
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=18A001032
- Number of red-black rooted trees with n-1 internal nodes.at n=10A001131
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=10A001157