112980 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 25728.

The previous prime is 112979. The next prime is 112997. The reversal of 112980 is 89211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹¹²⁹⁸⁰ is an apocalyptic number.

112980 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 112980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

112980 is an abundant number, since it is smaller than the sum of its proper divisors (249900).

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

112980 is a wasteful number, since it uses less digits than its factorization.

112980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 112980 is about 336.1249767572. The cubic root of 112980 is about 48.3430288384.

The spelling of 112980 in words is "one hundred twelve thousand, nine hundred eighty".