112516120 has 64 divisors (see below), whose sum is σ = 261636480. Its totient is φ = 43524096.

The previous prime is 112516111. The next prime is 112516153. The reversal of 112516120 is 21615211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182052 + ... + 182668.

It is an arithmetic number, because the mean of its divisors is an integer number (4088070).

Almost surely, 2^112516120 is an apocalyptic number.

112516120 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 112516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130818240).

112516120 is an abundant number, since it is smaller than the sum of its proper divisors (149120360).

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

112516120 is a wasteful number, since it uses less digits than its factorization.

112516120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 112516120 is about 10607.3615946662. The cubic root of 112516120 is about 482.7677485185.

Subtracting from 112516120 its reverse (21615211), we obtain a palindrome (90900909).

It can be divided in two parts, 11251 and 6120, that added together give a palindrome (17371).

The spelling of 112516120 in words is "one hundred twelve million, five hundred sixteen thousand, one hundred twenty".