112044960 has 288 divisors, whose sum is σ = 424569600. Its totient is φ = 26763264.

The previous prime is 112044941. The next prime is 112045019. The reversal of 112044960 is 69440211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112044960² = 25108146122803200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562941 + ... + 563139.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^112044960 is an apocalyptic number.

112044960 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 112044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

112044960 is an abundant number, since it is smaller than the sum of its proper divisors (312524640).

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

112044960 is a wasteful number, since it uses less digits than its factorization.

112044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112044960 is about 10585.1291914648. The cubic root of 112044960 is about 482.0929442040.

The spelling of 112044960 in words is "one hundred twelve million, forty-four thousand, nine hundred sixty".