12222
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 30576
- Proper Divisor Sum (Aliquot Sum)
- 18354
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 4074
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 94
- Smith Number
- no
- Vampire 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers whose maximal base-10 run length is 4.at n=19A033285
- Multiplicity of highest weight (or singular) vectors associated with character chi_68 of Monster module.at n=38A034456
- Gaps of 7 in sequence A038593 (upper terms).at n=32A038654
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=38A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=31A038857
- k th digit of a(n) is the number of different digits within 4 of k (not including k).at n=11A039990
- Numbers having four 2's in base 10.at n=1A043500
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=11A045152
- Numbers k such that rotating digits of k^2 left once still yields a square.at n=15A045878
- Successive positions in Tower of Hanoi (with three pegs {0,1,2}) where xyz means smallest disk is on peg z, second smallest is on peg y, third smallest on peg x, etc. and leading zeros indicate largest disks are all on peg 0.at n=16A055662
- Number of primitive (period n) periodic palindromic structures using a maximum of two different symbols.at n=28A056513
- Number of primitive (period n) periodic palindromic structures using exactly two different symbols.at n=27A056518
- Numbers in Morse code, with 1 for a dot, 2 for a dash and 0 between digits/letters.at n=1A060109
- Numbers in base -3.at n=41A073785
- Triangle of binomial(n,k)*(binomial(n+k,k)-binomial(n+k-2,k-1)).at n=33A080721
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=38A086120
- Number of nodes on a tree with degree 11 interior nodes and degree 1 boundary nodes.at n=4A090843
- Numbers n with digits in nondecreasing order such that sum of the reciprocal of digits is an integer.at n=24A091784
- Expansion of g.f. x*(1+11*x+x^2)/((1-x)*(1+x)*(1-10*x^2)).at n=9A094624
- Expansion of x*(1+x)/((1-x)*(1-10*x^2)).at n=9A094626