112385520 has 120 divisors (see below), whose sum is σ = 406494816. Its totient is φ = 27661824.

The previous prime is 112385519. The next prime is 112385543. The reversal of 112385520 is 25583211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3357 + ... + 15363.

Almost surely, 2^112385520 is an apocalyptic number.

112385520 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 112385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203247408).

112385520 is an abundant number, since it is smaller than the sum of its proper divisors (294109296).

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

112385520 is a wasteful number, since it uses less digits than its factorization.

112385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 112385520 is about 10601.2037052403. The cubic root of 112385520 is about 482.5808897288.

The spelling of 112385520 in words is "one hundred twelve million, three hundred eighty-five thousand, five hundred twenty".