12120
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
- 32
- Divisor Sum
- 36720
- Proper Divisor Sum (Aliquot Sum)
- 24600
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3200
- Möbius Function
- 0
- Radical
- 3030
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 143
- 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 k such that the least term in the periodic part of the continued fraction for sqrt(k) is 11.at n=9A031689
- Number of reversible strings with n black beads and n-1 white beads. String is not palindromic.at n=8A032106
- 1/n has period 4 in base 10.at n=40A069858
- Numbers in base -3.at n=30A073785
- Any digit "d" (except the first two) is the absolute difference between x and y -> x=sum of the 2 digits standing immediately to the left of "d", y=sum of the 2 digits standing immediately to the right of "d".at n=7A102355
- Number of partitions of 112233...nn into n pairs.at n=6A108704
- Numbers k such that 2*k-1, 4*k-1, 6*k-1 and 8*k-1 are primes.at n=11A124487
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (-1, 1, 1), (0, 0, 1), (1, 0, -1)}.at n=10A148294
- a(n) = 1728*n + 24.at n=6A157325
- Antidiagonal sums of the Wythoff array A035513.at n=14A160997
- a(n) = 121*n^2 + 2*n.at n=9A181679
- Number of 3-step king's tours on an n X n board summed over all starting positions.at n=15A186862
- Numbers of rank 10 in the poset of lunar numbers.at n=52A191752
- Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=20A192705
- Triangle read by rows, k!*s_2(n, k) where s_m(n, k) are the Stirling-Frobenius cycle numbers of order m; n >= 0, k >= 0.at n=25A225475
- Smallest number k such that prime(n) divides the n-th divisor of k.at n=24A226101
- Number of length n+4 0..7 arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=0A247403
- T(n,k)=Number of length n+4 0..k arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=21A247404
- Number of length 1+4 0..n arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=6A247405
- Number of compositions of n such that the maximal distance between two identical parts equals five.at n=13A262200