115981200 has 120 divisors (see below), whose sum is σ = 412845600. Its totient is φ = 30925440.

The previous prime is 115981181. The next prime is 115981207. The reversal of 115981200 is 2189511.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115981207) 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, 5431 + ... + 16169.

It is an arithmetic number, because the mean of its divisors is an integer number (3440380).

Almost surely, 2^115981200 is an apocalyptic number.

115981200 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 115981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206422800).

115981200 is an abundant number, since it is smaller than the sum of its proper divisors (296864400).

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

115981200 is a wasteful number, since it uses less digits than its factorization.

115981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 115981200 is about 10769.4568108146. The cubic root of 115981200 is about 487.6735476780.

The spelling of 115981200 in words is "one hundred fifteen million, nine hundred eighty-one thousand, two hundred".