112880000 has 160 divisors (see below), whose sum is σ = 301122360. Its totient is φ = 41984000.

The previous prime is 112879997. The next prime is 112880023. The reversal of 112880000 is 88211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1359959 + ... + 1360041.

Almost surely, 2^112880000 is an apocalyptic number.

112880000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10624×10625.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150561180).

112880000 is an abundant number, since it is smaller than the sum of its proper divisors (188242360).

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

112880000 is an frugal number, since it uses more digits than its factorization.

112880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 112880000 is about 10624.4999882347. The cubic root of 112880000 is about 483.2876162334.

The spelling of 112880000 in words is "one hundred twelve million, eight hundred eighty thousand".