115012800 has 378 divisors, whose sum is σ = 478439988. Its totient is φ = 26127360.

The previous prime is 115012783. The next prime is 115012817. The reversal of 115012800 is 8210511.

It is an interprime number because it is at equal distance from previous prime (115012783) and next prime (115012817).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705519 + ... + 705681.

Almost surely, 2^115012800 is an apocalyptic number.

115012800 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 115012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239219994).

115012800 is an abundant number, since it is smaller than the sum of its proper divisors (363427188).

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

115012800 is a wasteful number, since it uses less digits than its factorization.

115012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 115012800 is about 10724.4020812351. The cubic root of 115012800 is about 486.3124546676.

The spelling of 115012800 in words is "one hundred fifteen million, twelve thousand, eight hundred".