Properties of the Number 12168

Twelve Thousand One Hundred Sixty-Eight

Basics

Value: 12167 → 12168 → 12169

Parity: even

Prime: No

Previous Prime: 12163

Next Prime: 12197

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 13 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110001000

Octal: 27610

Duodecimal: 7060

Hexadecimal: 2f88

Square: 148060224

Square Root: 110.30865786510141

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

sigma₃(n): sum of cubes of divisors of n. A1158

a(n) = n³ + 1. A1093

Fourier coefficients of E_infinity,4. A7331

a(n) = 8·n². A139098

a(n) = n * σ(A003961(n)), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341528

Sum of cubes of odd divisors of n. A51000

a(n) = n³*∏_{distinct primes p dividing n} (1+1/p³). A65959

a(n) = n²*(n+1)²/2. A163102

a(n) = ∑_{d >= 1, d divides n} (-1)^n-d*d³. A8457

a(n) = sigma₃(2·n+1). A45823