112312116900 has 81 divisors (see below), whose sum is σ = 352067607073. Its totient is φ = 29947216800.

The previous prime is 112312116881. The next prime is 112312116911. The reversal of 112312116900 is 9611213211.

It is a happy number.

The square root of 112312116900 is 335130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40432362084 + 71879754816 = 201078^2 + 268104^2 .

It is a super-2 number, since 2×112312116900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10048315 + ... + 10059485.

Almost surely, 2^112312116900 is an apocalyptic number.

112312116900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112312116900 is the 335130-th square number.

It is an amenable number.

112312116900 is an abundant number, since it is smaller than the sum of its proper divisors (239755490173).

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

112312116900 is an equidigital number, since it uses as much as digits as its factorization.

112312116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 112312116900 in words is "one hundred twelve billion, three hundred twelve million, one hundred sixteen thousand, nine hundred".