112881120 has 96 divisors (see below), whose sum is σ = 387918720. Its totient is φ = 27363840.

The previous prime is 112881091. The next prime is 112881121. The reversal of 112881120 is 21188211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112881121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5410 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (4040820).

Almost surely, 2^112881120 is an apocalyptic number.

112881120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112881120 is an abundant number, since it is smaller than the sum of its proper divisors (275037600).

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

112881120 is a wasteful number, since it uses less digits than its factorization.

112881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21408 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The square root of 112881120 is about 10624.5526964668. The cubic root of 112881120 is about 483.2892146280.

The spelling of 112881120 in words is "one hundred twelve million, eight hundred eighty-one thousand, one hundred twenty".