113002220120120 has 128 divisors (see below), whose sum is σ = 269948367360000. Its totient is φ = 42453148515840.

The previous prime is 113002220120107. The next prime is 113002220120143. The reversal of 113002220120120 is 21021022200311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58270505 + ... + 60178535.

It is an arithmetic number, because the mean of its divisors is an integer number (2108971620000).

Almost surely, 2^{113002220120120} is an apocalyptic number.

113002220120120 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 113002220120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134974183680000).

113002220120120 is an abundant number, since it is smaller than the sum of its proper divisors (156946147239880).

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

113002220120120 is a wasteful number, since it uses less digits than its factorization.

113002220120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908733 (or 1908729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 113002220120120 its reverse (21021022200311), we get a palindrome (134023242320431).

The spelling of 113002220120120 in words is "one hundred thirteen trillion, two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".