120
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 360
- Proper Divisor Sum (Aliquot Sum)
- 240
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- yes
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 32
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- yes
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 20
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertzwanzig· ordinal: einshundertzwanzigste
- English
- one hundred twenty· ordinal: one hundred twentieth
- Spanish
- ciento veinte· ordinal: 120º
- French
- cent vingt· ordinal: cent vingtième
- Italian
- centoventi· ordinal: 120º
- Latin
- centum viginti· ordinal: 120.
- Portuguese
- cento e vinte· ordinal: 120º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=33A000008
- Order of the group SL(2,Z_n).at n=4A000056
- Generalized tangent numbers d(n,1).at n=44A000061
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=45A000115
- a(n) = sigma(n), the sum of the divisors of n. Also called sigma_1(n).at n=53A000203
- a(n) = sigma(n), the sum of the divisors of n. Also called sigma_1(n).at n=55A000203
- a(n) = floor(n^2/3).at n=19A000212
- 3*n - 2*floor(sqrt(4*n+5)) + 5.at n=47A000277
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=8A000292
- Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018).at n=7A000295
- Number of 4-dimensional partitions of n.at n=4A000334
- Euler transform of A000292.at n=4A000335
- From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.at n=45A000361
- 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=62A000379
- Hexagonal numbers: a(n) = n*(2*n-1).at n=8A000384
- Numbers that are the sum of 3 but no fewer nonzero squares.at n=50A000419
- n written in base where place values are positive cubes.at n=43A000433
- Eulerian numbers (Euler's triangle: column k=6 of A008292, column k=5 of A173018).at n=1A000514
- Number of steps to reach 1 in sequence A000546.at n=5A000547
- Number of labeled rooted trees of height 4 with n nodes.at n=0A000553