112033114400 has 72 divisors (see below), whose sum is σ = 289589160420. Its totient is φ = 42177167360.

The previous prime is 112033114399. The next prime is 112033114429. The reversal of 112033114400 is 4411330211.

It can be written as a sum of positive squares in 6 ways, for example, as 68306958736 + 43726155664 = 261356^2 + 209108^2 .

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 11 ways as a sum of consecutive naturals, for example, 4105265 + ... + 4132464.

Almost surely, 2^112033114400 is an apocalyptic number.

112033114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112033114400 is an abundant number, since it is smaller than the sum of its proper divisors (177556046020).

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

112033114400 is a wasteful number, since it uses less digits than its factorization.

112033114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237766 (or 8237753 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 112033114400 its reverse (4411330211), we get a palindrome (116444444611).

The spelling of 112033114400 in words is "one hundred twelve billion, thirty-three million, one hundred fourteen thousand, four hundred".