113199120 has 160 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 30139776.

The previous prime is 113199101. The next prime is 113199143. The reversal of 113199120 is 21991311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 174637 + ... + 175283.

It is an arithmetic number, because the mean of its divisors is an integer number (2470824).

Almost surely, 2^113199120 is an apocalyptic number.

113199120 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 113199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

113199120 is an abundant number, since it is smaller than the sum of its proper divisors (282132720).

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

113199120 is an frugal number, since it uses more digits than its factorization.

113199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 113199120 is about 10639.5075073990. The cubic root of 113199120 is about 483.7426175185.

The spelling of 113199120 in words is "one hundred thirteen million, one hundred ninety-nine thousand, one hundred twenty".