12978405600 has 72 divisors (see below), whose sum is σ = 42244718040. Its totient is φ = 3460907520.

The previous prime is 12978405599. The next prime is 12978405617. The reversal of 12978405600 is 650487921.

It is a super-2 number, since 2×12978405600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2701435 + ... + 2706234.

It is an arithmetic number, because the mean of its divisors is an integer number (586732195).

Almost surely, 2^12978405600 is an apocalyptic number.

12978405600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12978405600 is an abundant number, since it is smaller than the sum of its proper divisors (29266312440).

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

12978405600 is a wasteful number, since it uses less digits than its factorization.

12978405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407692 (or 5407679 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 12978405600 in words is "twelve billion, nine hundred seventy-eight million, four hundred five thousand, six hundred".