112382880 has 48 divisors (see below), whose sum is σ = 354007584. Its totient is φ = 29968640.

The previous prime is 112382873. The next prime is 112382909. The reversal of 112382880 is 88283211.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 116586 + ... + 117545.

It is an arithmetic number, because the mean of its divisors is an integer number (7375158).

Almost surely, 2^112382880 is an apocalyptic number.

112382880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112382880 is an abundant number, since it is smaller than the sum of its proper divisors (241624704).

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

112382880 is a wasteful number, since it uses less digits than its factorization.

112382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234149 (or 234141 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 112382880 is about 10601.0791903466. The cubic root of 112382880 is about 482.5771109990.

The spelling of 112382880 in words is "one hundred twelve million, three hundred eighty-two thousand, eight hundred eighty".