Properties of the Number 120

One Hundred Twenty

Basics

Value: 119 → 120 → 121

Parity: even

Prime: No

Previous Prime: 113

Next Prime: 127

Digit Sum: 3

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 1111000

Octal: 170

Duodecimal: A0

Hexadecimal: 78

Square: 14400

Square Root: 10.954451150103322

Classification

Fibonacci: No

Bell Number: No

Factorial Number: Yes

Regular Number: Yes

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

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

a(n) = σ(n), the sum of the divisors of n. Also called sigma₁(n). A203

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Factorial numbers: n! = 1·2*3·4*...*n (order of symmetric group S_n, number of permutations of n letters). A142

Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. A7318

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

The nonnegative even numbers: a(n) = 2n. A5843

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Numbers that are not squarefree. Numbers that are divisible by a square greater than 1. The complement of A005117. A13929

Triangle read by rows: T(n,k) = ∑_j>=0 j!*T(n-j-1, k-1) for n >= 0, k >= 0. A84938

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