112312232400000 has 384 divisors, whose sum is σ = 385746163790400. Its totient is φ = 28917163520000.

The previous prime is 112312232399953. The next prime is 112312232400007. The reversal of 112312232400000 is 4232213211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112312232400000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112312232400000.

It is not an unprimeable number, because it can be changed into a prime (112312232400007) 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, 33186319 + ... + 36413681.

Almost surely, 2^{112312232400000} is an apocalyptic number.

112312232400000 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 112312232400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192873081895200).

112312232400000 is an abundant number, since it is smaller than the sum of its proper divisors (273433931390400).

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

112312232400000 is an frugal number, since it uses more digits than its factorization.

112312232400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227434 (or 3227402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112312232400000 its reverse (4232213211), we get a palindrome (112316464613211).

The spelling of 112312232400000 in words is "one hundred twelve trillion, three hundred twelve billion, two hundred thirty-two million, four hundred thousand".