12672482659200 has 4608 divisors, whose sum is σ = 61257279283200. Its totient is φ = 2515392921600.

The previous prime is 12672482659163. The next prime is 12672482659211. The reversal of 12672482659200 is 295628427621.

12672482659200 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 48 + 2 + 6 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116261308746 + ... + 116261308854.

It is an arithmetic number, because the mean of its divisors is an integer number (13293680400).

Almost surely, 2^{12672482659200} is an apocalyptic number.

12672482659200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672482659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30628639641600).

12672482659200 is an abundant number, since it is smaller than the sum of its proper divisors (48584796624000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12672482659200 is a wasteful number, since it uses less digits than its factorization.

12672482659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12672482659200 in words is "twelve trillion, six hundred seventy-two billion, four hundred eighty-two million, six hundred fifty-nine thousand, two hundred".