112225431190824 has 576 divisors, whose sum is σ = 385182471398400. Its totient is φ = 29959982438400.

The previous prime is 112225431190819. The next prime is 112225431190849. The reversal of 112225431190824 is 428091134522211.

112225431190824 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 5 + 431 + 190 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112225431190824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330137104 + ... + 330476864.

It is an arithmetic number, because the mean of its divisors is an integer number (668719568400).

Almost surely, 2^{112225431190824} is an apocalyptic number.

112225431190824 is a gapful number since it is divisible by the number (14) 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 112225431190824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192591235699200).

112225431190824 is an abundant number, since it is smaller than the sum of its proper divisors (272957040207576).

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

112225431190824 is an equidigital number, since it uses as much as digits as its factorization.

112225431190824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339858 (or 339833 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 112225431190824 in words is "one hundred twelve trillion, two hundred twenty-five billion, four hundred thirty-one million, one hundred ninety thousand, eight hundred twenty-four".