112981320 has 96 divisors (see below), whose sum is σ = 388809720. Its totient is φ = 28354560.

The previous prime is 112981307. The next prime is 112981321. The reversal of 112981320 is 23189211.

It can be written as a sum of positive squares in 4 ways, for example, as 77053284 + 35928036 = 8778^2 + 5994^2 .

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (112981321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111 + ... + 15350.

Almost surely, 2^112981320 is an apocalyptic number.

112981320 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 112981320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194404860).

112981320 is an abundant number, since it is smaller than the sum of its proper divisors (275828400).

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

112981320 is a wasteful number, since it uses less digits than its factorization.

112981320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18495 (or 18488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112981320 is about 10629.2671431289. The cubic root of 112981320 is about 483.4321710937.

The spelling of 112981320 in words is "one hundred twelve million, nine hundred eighty-one thousand, three hundred twenty".