112133000 has 128 divisors (see below), whose sum is σ = 305061120. Its totient is φ = 37785600.

The previous prime is 112132997. The next prime is 112133029. The reversal of 112133000 is 331211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580904 + ... + 581096.

It is an arithmetic number, because the mean of its divisors is an integer number (2383290).

Almost surely, 2^112133000 is an apocalyptic number.

112133000 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 112133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530560).

112133000 is an abundant number, since it is smaller than the sum of its proper divisors (192928120).

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

112133000 is a wasteful number, since it uses less digits than its factorization.

112133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 112133000 is about 10589.2870392676. The cubic root of 112133000 is about 482.2191802879.

Adding to 112133000 its reverse (331211), we get a palindrome (112464211).

The spelling of 112133000 in words is "one hundred twelve million, one hundred thirty-three thousand".