113224310232000 has 448 divisors, whose sum is σ = 408015149667840. Its totient is φ = 27437509632000.

The previous prime is 113224310231999. The next prime is 113224310232049. The reversal of 113224310232000 is 232013422311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680772852 + ... + 680939148.

Almost surely, 2^{113224310232000} is an apocalyptic number.

113224310232000 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 113224310232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204007574833920).

113224310232000 is an abundant number, since it is smaller than the sum of its proper divisors (294790839435840).

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

113224310232000 is a wasteful number, since it uses less digits than its factorization.

113224310232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168917 (or 168897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113224310232000 its reverse (232013422311), we get a palindrome (113456323654311).

The spelling of 113224310232000 in words is "one hundred thirteen trillion, two hundred twenty-four billion, three hundred ten million, two hundred thirty-two thousand".