112033301120 has 256 divisors, whose sum is σ = 300019658400. Its totient is φ = 39720124416.

The previous prime is 112033301119. The next prime is 112033301221. The reversal of 112033301120 is 21103330211.

It can be written as a sum of positive squares in 16 ways, for example, as 9012844096 + 103020457024 = 94936^2 + 320968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47530982 + ... + 47533338.

Almost surely, 2^112033301120 is an apocalyptic number.

112033301120 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 112033301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150009829200).

112033301120 is an abundant number, since it is smaller than the sum of its proper divisors (187986357280).

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

112033301120 is a wasteful number, since it uses less digits than its factorization.

112033301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 112033301120 its reverse (21103330211), we get a palindrome (133136631331).

The spelling of 112033301120 in words is "one hundred twelve billion, thirty-three million, three hundred one thousand, one hundred twenty".