120113113120 has 288 divisors, whose sum is σ = 383102213760. Its totient is φ = 34557419520.

The previous prime is 120113113111. The next prime is 120113113151. The reversal of 120113113120 is 21311311021.

It is a happy number.

It is a super-2 number, since 2×120113113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120113113094 and 120113113103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053236 + ... + 2110924.

It is an arithmetic number, because the mean of its divisors is an integer number (1330216020).

Almost surely, 2^120113113120 is an apocalyptic number.

120113113120 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 120113113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191551106880).

120113113120 is an abundant number, since it is smaller than the sum of its proper divisors (262989100640).

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

120113113120 is a wasteful number, since it uses less digits than its factorization.

120113113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57748 (or 57727 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 120113113120 its reverse (21311311021), we get a palindrome (141424424141).

The spelling of 120113113120 in words is "one hundred twenty billion, one hundred thirteen million, one hundred thirteen thousand, one hundred twenty".