112516128 has 120 divisors (see below), whose sum is σ = 335533968. Its totient is φ = 36982656.

The previous prime is 112516111. The next prime is 112516153. The reversal of 112516128 is 821615211.

It is a super-2 number, since 2×112516128² = 25319758120224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214875 + ... + 215397.

Almost surely, 2^112516128 is an apocalyptic number.

112516128 is a gapful number since it is divisible by the number (18) 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 112516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167766984).

112516128 is an abundant number, since it is smaller than the sum of its proper divisors (223017840).

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

112516128 is an equidigital number, since it uses as much as digits as its factorization.

112516128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 112516128 is about 10607.3619717628. The cubic root of 112516128 is about 482.7677599602.

The spelling of 112516128 in words is "one hundred twelve million, five hundred sixteen thousand, one hundred twenty-eight".