Properties of the Number 12420

Twelve Thousand Four Hundred Twenty

Basics

Value: 12419 → 12420 → 12421

Parity: even

Prime: No

Previous Prime: 12413

Next Prime: 12421

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 23

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010000100

Octal: 30204

Duodecimal: 7230

Hexadecimal: 3084

Square: 154256400

Square Root: 111.44505372604026

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

Octagonal pyramidal numbers: a(n) = n*(n+1)*(2·n-1)/2. A2414

MacMahon's generalized sum of divisors function. A2127

Numbers k such that σ(x) = k has exactly 8 solutions. A60664

a(n) = binomial(n,3) - binomial(floor(n/2),3) - binomial(ceiling(n/2),3). A111384

a(n) = 2·n*(7·n - 3). A316466

Array T(n,k) counting words with n letters drawn from a k-letter alphabet with no letter appearing thrice in a 3-letter subword. A265584

Structured icosidodecahedral numbers. A100147

Number of permutations of length n which avoid the patterns 123 and 4312. A116699

Numbers k such that σ(k) = 2·usigma(k). A63880

Numbers of the form p³*q²*r·s where p, q, r, and s are distinct primes. A179700