113204122400 has 72 divisors (see below), whose sum is σ = 276510466260. Its totient is φ = 45256924160.

The previous prime is 113204122399. The next prime is 113204122411. The reversal of 113204122400 is 4221402311.

It can be written as a sum of positive squares in 6 ways, for example, as 31565918224 + 81638204176 = 177668^2 + 285724^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1463906 + ... + 1539294.

Almost surely, 2^113204122400 is an apocalyptic number.

113204122400 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 113204122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138255233130).

113204122400 is an abundant number, since it is smaller than the sum of its proper divisors (163306343860).

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

113204122400 is a wasteful number, since it uses less digits than its factorization.

113204122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77286 (or 77273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 113204122400 its reverse (4221402311), we get a palindrome (117425524711).

The spelling of 113204122400 in words is "one hundred thirteen billion, two hundred four million, one hundred twenty-two thousand, four hundred".