112122313311312 has 120 divisors (see below), whose sum is σ = 315082748714760. Its totient is φ = 37219856808960.

The previous prime is 112122313311271. The next prime is 112122313311319. The reversal of 112122313311312 is 213113313221211.

112122313311312 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 2 + 31 + 3 + 311 + 312 = 666.

112122313311312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3515985009216 + 108606328302096 = 1875096^2 + 10421436^2 .

It is a super-2 number, since 2×112122313311312² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122313311319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93805762 + ... + 94993502.

It is an arithmetic number, because the mean of its divisors is an integer number (2625689572623).

Almost surely, 2^{112122313311312} is an apocalyptic number.

112122313311312 is a gapful number since it is divisible by the number (12) 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 112122313311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157541374357380).

112122313311312 is an abundant number, since it is smaller than the sum of its proper divisors (202960435403448).

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

112122313311312 is a wasteful number, since it uses less digits than its factorization.

112122313311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190461 (or 1190452 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 112122313311312 its reverse (213113313221211), we get a palindrome (325235626532523).

The spelling of 112122313311312 in words is "one hundred twelve trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred eleven thousand, three hundred twelve".