112198311600 has 360 divisors, whose sum is σ = 372538031040. Its totient is φ = 28863267840.

The previous prime is 112198311587. The next prime is 112198311601. The reversal of 112198311600 is 6113891211.

It is a super-2 number, since 2×112198311600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112198311601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267776191 + ... + 267776609.

It is an arithmetic number, because the mean of its divisors is an integer number (1034827864).

Almost surely, 2^112198311600 is an apocalyptic number.

112198311600 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 112198311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186269015520).

112198311600 is an abundant number, since it is smaller than the sum of its proper divisors (260339719440).

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

112198311600 is a wasteful number, since it uses less digits than its factorization.

112198311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 112198311600 in words is "one hundred twelve billion, one hundred ninety-eight million, three hundred eleven thousand, six hundred".