12038002752800 has 72 divisors (see below), whose sum is σ = 30401145803700. Its totient is φ = 4649159674880.

The previous prime is 12038002752791. The next prime is 12038002752823. The reversal of 12038002752800 is 825720083021.

It can be written as a sum of positive squares in 6 ways, for example, as 4445839722256 + 7592163030544 = 2108516^2 + 2755388^2 .

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, 259416515 + ... + 259462914.

Almost surely, 2^{12038002752800} is an apocalyptic number.

12038002752800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12038002752800 is an abundant number, since it is smaller than the sum of its proper divisors (18363143050900).

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

12038002752800 is a wasteful number, since it uses less digits than its factorization.

12038002752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518879478 (or 518879465 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 12038002752800 in words is "twelve trillion, thirty-eight billion, two million, seven hundred fifty-two thousand, eight hundred".