112302960 has 320 divisors, whose sum is σ = 445685760. Its totient is φ = 22717440.

The previous prime is 112302941. The next prime is 112302973. The reversal of 112302960 is 69203211.

It is a super-2 number, since 2×112302960² = 25223909649523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112302960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090269 + ... + 1090371.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^112302960 is an apocalyptic number.

112302960 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 112302960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

112302960 is an abundant number, since it is smaller than the sum of its proper divisors (333382800).

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

112302960 is a wasteful number, since it uses less digits than its factorization.

112302960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 112302960 is about 10597.3090924064. The cubic root of 112302960 is about 482.4626905207.

The spelling of 112302960 in words is "one hundred twelve million, three hundred two thousand, nine hundred sixty".