112112131311312 has 80 divisors (see below), whose sum is σ = 316063195898880. Its totient is φ = 33961456368000.

The previous prime is 112112131311281. The next prime is 112112131311347. The reversal of 112112131311312 is 213113131211211.

It is a super-2 number, since 2×112112131311312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35733112 + ... + 38743767.

It is an arithmetic number, because the mean of its divisors is an integer number (3950789948736).

Almost surely, 2^{112112131311312} is an apocalyptic number.

112112131311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112112131311312 is an abundant number, since it is smaller than the sum of its proper divisors (203951064587568).

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

112112131311312 is a wasteful number, since it uses less digits than its factorization.

112112131311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74479752 (or 74479746 counting only the distinct ones).

The product of its digits is 216, while the sum is 24.

Adding to 112112131311312 its reverse (213113131211211), we get a palindrome (325225262522523).

The spelling of 112112131311312 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred thirty-one million, three hundred eleven thousand, three hundred twelve".