12712550400 has 1008 divisors, whose sum is σ = 54037687200. Its totient is φ = 2919628800.

The previous prime is 12712550399. The next prime is 12712550423. The reversal of 12712550400 is 405521721.

12712550400 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 255 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 669081591 + ... + 669081609.

Almost surely, 2^12712550400 is an apocalyptic number.

12712550400 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 12712550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27018843600).

12712550400 is an abundant number, since it is smaller than the sum of its proper divisors (41325136800).

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

12712550400 is a wasteful number, since it uses less digits than its factorization.

12712550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 12712550400 in words is "twelve billion, seven hundred twelve million, five hundred fifty thousand, four hundred".