115112800 has 144 divisors (see below), whose sum is σ = 311980032. Its totient is φ = 41126400.

The previous prime is 115112779. The next prime is 115112807. The reversal of 115112800 is 8211511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115112807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906337 + ... + 906463.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^115112800 is an apocalyptic number.

115112800 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 115112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

115112800 is an abundant number, since it is smaller than the sum of its proper divisors (196867232).

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

115112800 is a wasteful number, since it uses less digits than its factorization.

115112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 115112800 is about 10729.0633328357. The cubic root of 115112800 is about 486.4533582824.

The spelling of 115112800 in words is "one hundred fifteen million, one hundred twelve thousand, eight hundred".