113223310122120 has 768 divisors, whose sum is σ = 393854205911040. Its totient is φ = 25984899072000.

The previous prime is 113223310122113. The next prime is 113223310122179. The reversal of 113223310122120 is 21221013322311.

It is a super-2 number, since 2×113223310122120² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8436273010 + ... + 8436286430.

It is an arithmetic number, because the mean of its divisors is an integer number (512830997280).

Almost surely, 2^{113223310122120} is an apocalyptic number.

113223310122120 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 113223310122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196927102955520).

113223310122120 is an abundant number, since it is smaller than the sum of its proper divisors (280630895788920).

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

113223310122120 is a wasteful number, since it uses less digits than its factorization.

113223310122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113223310122120 its reverse (21221013322311), we get a palindrome (134444323444431).

The spelling of 113223310122120 in words is "one hundred thirteen trillion, two hundred twenty-three billion, three hundred ten million, one hundred twenty-two thousand, one hundred twenty".