113520120 has 128 divisors (see below), whose sum is σ = 392256000. Its totient is φ = 25744896.

The previous prime is 113520119. The next prime is 113520137. The reversal of 113520120 is 21025311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113520120.

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, 124707 + ... + 125613.

It is an arithmetic number, because the mean of its divisors is an integer number (3064500).

Almost surely, 2^113520120 is an apocalyptic number.

113520120 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 113520120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196128000).

113520120 is an abundant number, since it is smaller than the sum of its proper divisors (278735880).

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

113520120 is a wasteful number, since it uses less digits than its factorization.

113520120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 113520120 is about 10654.5821128752. The cubic root of 113520120 is about 484.1994374222.

Adding to 113520120 its reverse (21025311), we get a palindrome (134545431).

The spelling of 113520120 in words is "one hundred thirteen million, five hundred twenty thousand, one hundred twenty".