113435216120 has 64 divisors (see below), whose sum is σ = 263902544640. Its totient is φ = 43837056000.

The previous prime is 113435216119. The next prime is 113435216129. The reversal of 113435216120 is 21612534311.

It is a super-2 number, since 2×113435216120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113435216129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669134 + ... + 821346.

It is an arithmetic number, because the mean of its divisors is an integer number (4123477260).

Almost surely, 2^113435216120 is an apocalyptic number.

113435216120 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 113435216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131951272320).

113435216120 is an abundant number, since it is smaller than the sum of its proper divisors (150467328520).

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

113435216120 is a wasteful number, since it uses less digits than its factorization.

113435216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152856 (or 152852 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 113435216120 in words is "one hundred thirteen billion, four hundred thirty-five million, two hundred sixteen thousand, one hundred twenty".