113204120400 has 960 divisors, whose sum is σ = 494196940800. Its totient is φ = 24034682880.

The previous prime is 113204120399. The next prime is 113204120431. The reversal of 113204120400 is 4021402311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76128457 + ... + 76129943.

It is an arithmetic number, because the mean of its divisors is an integer number (514788480).

Almost surely, 2^113204120400 is an apocalyptic number.

113204120400 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 113204120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247098470400).

113204120400 is an abundant number, since it is smaller than the sum of its proper divisors (380992820400).

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

113204120400 is a wasteful number, since it uses less digits than its factorization.

113204120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113204120400 its reverse (4021402311), we get a palindrome (117225522711).

The spelling of 113204120400 in words is "one hundred thirteen billion, two hundred four million, one hundred twenty thousand, four hundred".