113430224000 has 128 divisors (see below), whose sum is σ = 283360896000. Its totient is φ = 45155712000.

The previous prime is 113430223969. The next prime is 113430224021. The reversal of 113430224000 is 422034311.

113430224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 3359201 + ... + 3392799.

It is an arithmetic number, because the mean of its divisors is an integer number (2213757000).

Almost surely, 2^113430224000 is an apocalyptic number.

113430224000 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 113430224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141680448000).

113430224000 is an abundant number, since it is smaller than the sum of its proper divisors (169930672000).

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

113430224000 is an equidigital number, since it uses as much as digits as its factorization.

113430224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33839 (or 33817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113430224000 its reverse (422034311), we get a palindrome (113852258311).

The spelling of 113430224000 in words is "one hundred thirteen billion, four hundred thirty million, two hundred twenty-four thousand".