115111200 has 72 divisors (see below), whose sum is σ = 374694768. Its totient is φ = 30695680.

The previous prime is 115111193. The next prime is 115111219. The reversal of 115111200 is 2111511.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21582 + ... + 26381.

It is an arithmetic number, because the mean of its divisors is an integer number (5204094).

Almost surely, 2^115111200 is an apocalyptic number.

115111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115111200 is an abundant number, since it is smaller than the sum of its proper divisors (259583568).

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

115111200 is a wasteful number, since it uses less digits than its factorization.

115111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47986 (or 47973 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 115111200 is about 10728.9887687517. The cubic root of 115111200 is about 486.4511044671.

Adding to 115111200 its reverse (2111511), we get a palindrome (117222711).

The spelling of 115111200 in words is "one hundred fifteen million, one hundred eleven thousand, two hundred".