12874752000 has 672 divisors, whose sum is σ = 51033176064. Its totient is φ = 3096576000.

The previous prime is 12874751999. The next prime is 12874752029. The reversal of 12874752000 is 25747821.

12874752000 is a `hidden beast` number, since 12 + 87 + 47 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101375937 + ... + 101376063.

Almost surely, 2^12874752000 is an apocalyptic number.

12874752000 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 12874752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25516588032).

12874752000 is an abundant number, since it is smaller than the sum of its proper divisors (38158424064).

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

12874752000 is a wasteful number, since it uses less digits than its factorization.

12874752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12874752000 in words is "twelve billion, eight hundred seventy-four million, seven hundred fifty-two thousand".