112311131220120 has 512 divisors, whose sum is σ = 420064185600000. Its totient is φ = 23439172829184.

The previous prime is 112311131220023. The next prime is 112311131220131. The reversal of 112311131220120 is 21022131113211.

It is a super-2 number, since 2×112311131220120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257584056 + ... + 258019704.

It is an arithmetic number, because the mean of its divisors is an integer number (820437862500).

Almost surely, 2^{112311131220120} is an apocalyptic number.

112311131220120 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 112311131220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210032092800000).

112311131220120 is an abundant number, since it is smaller than the sum of its proper divisors (307753054379880).

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

112311131220120 is a wasteful number, since it uses less digits than its factorization.

112311131220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436275 (or 436271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 112311131220120 its reverse (21022131113211), we get a palindrome (133333262333331).

The spelling of 112311131220120 in words is "one hundred twelve trillion, three hundred eleven billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty".