112234304000 has 480 divisors, whose sum is σ = 350725270896. Its totient is φ = 35507404800.

The previous prime is 112234303991. The next prime is 112234304029. The reversal of 112234304000 is 403432211.

It can be written as a sum of positive squares in 8 ways, for example, as 6520885504 + 105713418496 = 80752^2 + 325136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40766624 + ... + 40769376.

Almost surely, 2^112234304000 is an apocalyptic number.

112234304000 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 112234304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175362635448).

112234304000 is an abundant number, since it is smaller than the sum of its proper divisors (238490966896).

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

112234304000 is an equidigital number, since it uses as much as digits as its factorization.

112234304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112234304000 its reverse (403432211), we get a palindrome (112637736211).

The spelling of 112234304000 in words is "one hundred twelve billion, two hundred thirty-four million, three hundred four thousand".