12920016400 has 30 divisors (see below), whose sum is σ = 31040340362. Its totient is φ = 5168006400.

The previous prime is 12920016377. The next prime is 12920016433. The reversal of 12920016400 is 461002921.

It can be written as a sum of positive squares in 3 ways, for example, as 108493056 + 12811523344 = 10416^2 + 113188^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 16149621 + ... + 16150420.

Almost surely, 2^12920016400 is an apocalyptic number.

12920016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12920016400 is an abundant number, since it is smaller than the sum of its proper divisors (18120323962).

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

12920016400 is a wasteful number, since it uses less digits than its factorization.

12920016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32300059 (or 32300048 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12920016400 in words is "twelve billion, nine hundred twenty million, sixteen thousand, four hundred".