112533200 has 240 divisors, whose sum is σ = 329353920. Its totient is φ = 36495360.

The previous prime is 112533199. The next prime is 112533241. The reversal of 112533200 is 2335211.

It is a super-2 number, since 2×112533200² = 25327442204480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679567 + ... + 1679633.

It is an arithmetic number, because the mean of its divisors is an integer number (1372308).

Almost surely, 2^112533200 is an apocalyptic number.

112533200 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 112533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676960).

112533200 is an abundant number, since it is smaller than the sum of its proper divisors (216820720).

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

112533200 is a wasteful number, since it uses less digits than its factorization.

112533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 112533200 is about 10608.1666653574. The cubic root of 112533200 is about 482.7921754064.

Adding to 112533200 its reverse (2335211), we get a palindrome (114868411).

The spelling of 112533200 in words is "one hundred twelve million, five hundred thirty-three thousand, two hundred".