113022012400 has 240 divisors, whose sum is σ = 304551355680. Its totient is φ = 39957299200.

The previous prime is 113022012331. The next prime is 113022012401. The reversal of 113022012400 is 4210220311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022012401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26349456 + ... + 26353744.

It is an arithmetic number, because the mean of its divisors is an integer number (1268963982).

Almost surely, 2^113022012400 is an apocalyptic number.

113022012400 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 113022012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152275677840).

113022012400 is an abundant number, since it is smaller than the sum of its proper divisors (191529343280).

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

113022012400 is a wasteful number, since it uses less digits than its factorization.

113022012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113022012400 its reverse (4210220311), we get a palindrome (117232232711).

The spelling of 113022012400 in words is "one hundred thirteen billion, twenty-two million, twelve thousand, four hundred".