12827424400 has 120 divisors (see below), whose sum is σ = 37074303680. Its totient is φ = 4166484480.

The previous prime is 12827424383. The next prime is 12827424473. The reversal of 12827424400 is 442472821.

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, 67359 + ... + 173758.

Almost surely, 2^12827424400 is an apocalyptic number.

12827424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12827424400 is an abundant number, since it is smaller than the sum of its proper divisors (24246879280).

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

12827424400 is a wasteful number, since it uses less digits than its factorization.

12827424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241161 (or 241150 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The spelling of 12827424400 in words is "twelve billion, eight hundred twenty-seven million, four hundred twenty-four thousand, four hundred".