112427481600 has 900 divisors, whose sum is σ = 484256178054. Its totient is φ = 25686097920.

The previous prime is 112427481583. The next prime is 112427481611. The reversal of 112427481600 is 6184724211.

It is a happy number.

112427481600 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 7 + 48 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 108646707456 + 3780774144 = 329616^2 + 61488^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50802094 + ... + 50804306.

Almost surely, 2^112427481600 is an apocalyptic number.

112427481600 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 112427481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242128089027).

112427481600 is an abundant number, since it is smaller than the sum of its proper divisors (371828696454).

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

112427481600 is an equidigital number, since it uses as much as digits as its factorization.

112427481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 112427481600 in words is "one hundred twelve billion, four hundred twenty-seven million, four hundred eighty-one thousand, six hundred".