1113112400 has 90 divisors (see below), whose sum is σ = 2841110010. Its totient is φ = 419010560.

The previous prime is 1113112379. The next prime is 1113112411. The reversal of 1113112400 is 42113111.

It can be written as a sum of positive squares in 9 ways, for example, as 11669056 + 1101443344 = 3416^2 + 33188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110786 + ... + 120414.

It is an arithmetic number, because the mean of its divisors is an integer number (31567889).

Almost surely, 2^1113112400 is an apocalyptic number.

1113112400 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 1113112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420555005).

1113112400 is an abundant number, since it is smaller than the sum of its proper divisors (1727997610).

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

1113112400 is a wasteful number, since it uses less digits than its factorization.

1113112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1113112400 is about 33363.3391614209. The cubic root of 1113112400 is about 1036.3656426647.

Adding to 1113112400 its reverse (42113111), we get a palindrome (1155225511).

The spelling of 1113112400 in words is "one billion, one hundred thirteen million, one hundred twelve thousand, four hundred".