113960112 has 160 divisors (see below), whose sum is σ = 362548224. Its totient is φ = 30105600.

The previous prime is 113960083. The next prime is 113960141. The reversal of 113960112 is 211069311.

It is an interprime number because it is at equal distance from previous prime (113960083) and next prime (113960141).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 405412 + ... + 405692.

Almost surely, 2^113960112 is an apocalyptic number.

113960112 is a gapful number since it is divisible by the number (12) 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 113960112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181274112).

113960112 is an abundant number, since it is smaller than the sum of its proper divisors (248588112).

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

113960112 is a wasteful number, since it uses less digits than its factorization.

113960112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 113960112 is about 10675.2101618657. The cubic root of 113960112 is about 484.8241995784.

The spelling of 113960112 in words is "one hundred thirteen million, nine hundred sixty thousand, one hundred twelve".