112442214400 has 72 divisors (see below), whose sum is σ = 278788738410. Its totient is φ = 44976865280.

The previous prime is 112442214389. The next prime is 112442214407. The reversal of 112442214400 is 4412244211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43437229056 + 69004985344 = 208416^2 + 262688^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (112442214407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1046869 + ... + 1149268.

Almost surely, 2^112442214400 is an apocalyptic number.

112442214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112442214400 is an abundant number, since it is smaller than the sum of its proper divisors (166346524010).

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

112442214400 is an equidigital number, since it uses as much as digits as its factorization.

112442214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196169 (or 2196144 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 112442214400 its reverse (4412244211), we get a palindrome (116854458611).

The spelling of 112442214400 in words is "one hundred twelve billion, four hundred forty-two million, two hundred fourteen thousand, four hundred".