113121593200 has 360 divisors, whose sum is σ = 343107352224. Its totient is φ = 35082854400.

The previous prime is 113121593177. The next prime is 113121593203. The reversal of 113121593200 is 2395121311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121593203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78939684 + ... + 78941116.

Almost surely, 2^113121593200 is an apocalyptic number.

113121593200 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 113121593200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171553676112).

113121593200 is an abundant number, since it is smaller than the sum of its proper divisors (229985759024).

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

113121593200 is a wasteful number, since it uses less digits than its factorization.

113121593200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 113121593200 in words is "one hundred thirteen billion, one hundred twenty-one million, five hundred ninety-three thousand, two hundred".