113407047120 has 160 divisors (see below), whose sum is σ = 358896136320. Its totient is φ = 29615339520.

The previous prime is 113407047109. The next prime is 113407047137. The reversal of 113407047120 is 21740704311.

It is a super-2 number, since 2×113407047120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3335647 + ... + 3369473.

It is an arithmetic number, because the mean of its divisors is an integer number (2243100852).

Almost surely, 2^113407047120 is an apocalyptic number.

113407047120 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 113407047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179448068160).

113407047120 is an abundant number, since it is smaller than the sum of its proper divisors (245489089200).

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

113407047120 is a wasteful number, since it uses less digits than its factorization.

113407047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34133 (or 34127 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 113407047120 in words is "one hundred thirteen billion, four hundred seven million, forty-seven thousand, one hundred twenty".