112112131311200 has 144 divisors (see below), whose sum is σ = 289802569104720. Its totient is φ = 42205580574720.

The previous prime is 112112131311199. The next prime is 112112131311277. The reversal of 112112131311200 is 2113131211211.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 498232316 + ... + 498457284.

It is an arithmetic number, because the mean of its divisors is an integer number (2012517841005).

Almost surely, 2^{112112131311200} is an apocalyptic number.

112112131311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112131311200 is an abundant number, since it is smaller than the sum of its proper divisors (177690437793520).

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

112112131311200 is a wasteful number, since it uses less digits than its factorization.

112112131311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261649 (or 261636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 112112131311200 its reverse (2113131211211), we get a palindrome (114225262522411).

The spelling of 112112131311200 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred thirty-one million, three hundred eleven thousand, two hundred".