112133200 has 60 divisors (see below), whose sum is σ = 278121088. Its totient is φ = 43401600.

The previous prime is 112133191. The next prime is 112133243. The reversal of 112133200 is 2331211.

112133200 = T₄₀₉ + T₄₁₀ + ... + T₉₀₄.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7879 + ... + 16921.

Almost surely, 2^112133200 is an apocalyptic number.

112133200 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 112133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139060544).

112133200 is an abundant number, since it is smaller than the sum of its proper divisors (165987888).

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

112133200 is a wasteful number, since it uses less digits than its factorization.

112133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 112133200 is about 10589.2964827698. The cubic root of 112133200 is about 482.2194669825.

Adding to 112133200 its reverse (2331211), we get a palindrome (114464411).

The spelling of 112133200 in words is "one hundred twelve million, one hundred thirty-three thousand, two hundred".