12972290400 has 144 divisors (see below), whose sum is σ = 46916528400. Its totient is φ = 3459271680.

The previous prime is 12972290399. The next prime is 12972290417. The reversal of 12972290400 is 409227921.

12972290400 is a `hidden beast` number, since 1 + 29 + 7 + 229 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278685 + ... + 321884.

It is an arithmetic number, because the mean of its divisors is an integer number (325809225).

Almost surely, 2^12972290400 is an apocalyptic number.

12972290400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12972290400 is an abundant number, since it is smaller than the sum of its proper divisors (33944238000).

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

12972290400 is a wasteful number, since it uses less digits than its factorization.

12972290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600598 (or 600579 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12972290400 in words is "twelve billion, nine hundred seventy-two million, two hundred ninety thousand, four hundred".