12012
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 37632
- Proper Divisor Sum (Aliquot Sum)
- 25620
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 6006
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=34A000837
- Coefficients of Legendre polynomials.at n=6A001800
- a(n) = (2n+1)!/n!^2.at n=6A002457
- a(n) = (2*n+3)!/(6*n!*(n+1)!).at n=5A002802
- Degrees of irreducible representations of alternating group A_13.at n=48A003868
- Degrees of irreducible representations of alternating group A_13.at n=49A003868
- Degrees of irreducible representations of symmetric group S_13.at n=87A003877
- Degrees of irreducible representations of symmetric group S_13.at n=86A003877
- Degrees of irreducible representations of symmetric group S_13.at n=88A003877
- Degrees of irreducible representations of symmetric group S_13.at n=89A003877
- Degrees of irreducible representations of Suzuki group Suz.at n=10A003902
- Number of unrooted triangulations with reflection symmetry of a disk with 2 internal nodes and n+3 nodes on the boundary.at n=13A005509
- Number of tree-rooted planar maps with 3 faces and n vertices and no isthmuses.at n=10A006470
- a(n+1) = a(n)/n if n|a(n) else a(n)*n, a(1) = 1.at n=13A008336
- Powers of fourth root of 18 rounded down.at n=13A018096
- Expansion of (1-4*x)^(13/2).at n=6A020925
- Distinct even elements in 4-Pascal triangle A028275 (by row).at n=33A028282
- Elements to right of central elements in 4-Pascal triangle A028275 that are not 1.at n=50A028285
- Even elements to right of central elements in 4-Pascal triangle A028275.at n=25A028286
- Expansion of -1/x + 6*3F2( 5/6, 1, 7/6; 3/2, 2; 108*x).at n=3A028350