113202231120000 has 960 divisors, whose sum is σ = 456066963855360. Its totient is φ = 26701194240000.

The previous prime is 113202231119987. The next prime is 113202231120031. The reversal of 113202231120000 is 21132202311.

113202231120000 is a `hidden beast` number, since 1 + 1 + 320 + 223 + 1 + 120 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 292846849 + ... + 293233151.

It is an arithmetic number, because the mean of its divisors is an integer number (475069754016).

Almost surely, 2^{113202231120000} is an apocalyptic number.

113202231120000 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 113202231120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228033481927680).

113202231120000 is an abundant number, since it is smaller than the sum of its proper divisors (342864732735360).

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

113202231120000 is a wasteful number, since it uses less digits than its factorization.

113202231120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386391 (or 386361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113202231120000 its reverse (21132202311), we get a palindrome (113223363322311).

The spelling of 113202231120000 in words is "one hundred thirteen trillion, two hundred two billion, two hundred thirty-one million, one hundred twenty thousand".