112400033000 has 64 divisors (see below), whose sum is σ = 263343085200. Its totient is φ = 44904115200.

The previous prime is 112400032981. The next prime is 112400033017. The reversal of 112400033000 is 330004211.

It can be written as a sum of positive squares in 8 ways, for example, as 45742087876 + 66657945124 = 213874^2 + 258182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739532 + ... + 878468.

Almost surely, 2^112400033000 is an apocalyptic number.

112400033000 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 112400033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131671542600).

112400033000 is an abundant number, since it is smaller than the sum of its proper divisors (150943052200).

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

112400033000 is a wasteful number, since it uses less digits than its factorization.

112400033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139767 (or 139753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 112400033000 its reverse (330004211), we get a palindrome (112730037211).

The spelling of 112400033000 in words is "one hundred twelve billion, four hundred million, thirty-three thousand".