112311013132120 has 128 divisors (see below), whose sum is σ = 285230454062400. Its totient is φ = 39424887040000.

The previous prime is 112311013132117. The next prime is 112311013132141. The reversal of 112311013132120 is 21231310113211.

It is a super-3 number, since 3×112311013132120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112311013132091 and 112311013132100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69392742 + ... + 70992778.

Almost surely, 2^{112311013132120} is an apocalyptic number.

112311013132120 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 112311013132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142615227031200).

112311013132120 is an abundant number, since it is smaller than the sum of its proper divisors (172919440930280).

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

112311013132120 is a wasteful number, since it uses less digits than its factorization.

112311013132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605589 (or 1605585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 112311013132120 its reverse (21231310113211), we get a palindrome (133542323245331).

The spelling of 112311013132120 in words is "one hundred twelve trillion, three hundred eleven billion, thirteen million, one hundred thirty-two thousand, one hundred twenty".