115911120 has 160 divisors (see below), whose sum is σ = 391974912. Its totient is φ = 28164096.

The previous prime is 115911109. The next prime is 115911137. The reversal of 115911120 is 21119511.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 302449 + ... + 302831.

Almost surely, 2^115911120 is an apocalyptic number.

115911120 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 115911120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195987456).

115911120 is an abundant number, since it is smaller than the sum of its proper divisors (276063792).

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

115911120 is a wasteful number, since it uses less digits than its factorization.

115911120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 21.

The square root of 115911120 is about 10766.2026731805. The cubic root of 115911120 is about 487.5753046063.

The spelling of 115911120 in words is "one hundred fifteen million, nine hundred eleven thousand, one hundred twenty".