112033200 has 120 divisors (see below), whose sum is σ = 363258000. Its totient is φ = 29511680.

The previous prime is 112033199. The next prime is 112033211. The reversal of 112033200 is 2330211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106276 + ... + 107324.

It is an arithmetic number, because the mean of its divisors is an integer number (3027150).

Almost surely, 2^112033200 is an apocalyptic number.

112033200 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 112033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181629000).

112033200 is an abundant number, since it is smaller than the sum of its proper divisors (251224800).

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

112033200 is a wasteful number, since it uses less digits than its factorization.

112033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 112033200 is about 10584.5736805976. The cubic root of 112033200 is about 482.0760771315.

Adding to 112033200 its reverse (2330211), we get a palindrome (114363411).

The spelling of 112033200 in words is "one hundred twelve million, thirty-three thousand, two hundred".