112311122400 has 144 divisors (see below), whose sum is σ = 406191970800. Its totient is φ = 29949626880.

The previous prime is 112311122323. The next prime is 112311122447. The reversal of 112311122400 is 4221113211.

112311122400 is a `hidden beast` number, since 1 + 1 + 231 + 11 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112311122400² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578195 + ... + 2621394.

It is an arithmetic number, because the mean of its divisors is an integer number (2820777575).

Almost surely, 2^112311122400 is an apocalyptic number.

112311122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112311122400 is an abundant number, since it is smaller than the sum of its proper divisors (293880848400).

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

112311122400 is a wasteful number, since it uses less digits than its factorization.

112311122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199618 (or 5199599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112311122400 its reverse (4221113211), we get a palindrome (116532235611).

The spelling of 112311122400 in words is "one hundred twelve billion, three hundred eleven million, one hundred twenty-two thousand, four hundred".