12288080400 has 60 divisors (see below), whose sum is σ = 39362821392. Its totient is φ = 3276821120.

The previous prime is 12288080383. The next prime is 12288080479. The reversal of 12288080400 is 408088221.

It is a tau number, because it is divible by the number of its divisors (60).

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, 5118834 + ... + 5121233.

Almost surely, 2^12288080400 is an apocalyptic number.

12288080400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288080400 is an abundant number, since it is smaller than the sum of its proper divisors (27074740992).

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

12288080400 is a wasteful number, since it uses less digits than its factorization.

12288080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240088 (or 10240077 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 12288080400 in words is "twelve billion, two hundred eighty-eight million, eighty thousand, four hundred".