112531200 has 108 divisors (see below), whose sum is σ = 371439768. Its totient is φ = 30003200.

The previous prime is 112531189. The next prime is 112531201. The reversal of 112531200 is 2135211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112531200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112531201) by changing a digit.

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, 16270 + ... + 22130.

Almost surely, 2^112531200 is an apocalyptic number.

112531200 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 112531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185719884).

112531200 is an abundant number, since it is smaller than the sum of its proper divisors (258908568).

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

112531200 is an equidigital number, since it uses as much as digits as its factorization.

112531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112531200 is about 10608.0723979430. The cubic root of 112531200 is about 482.7893152428.

Adding to 112531200 its reverse (2135211), we get a palindrome (114666411).

The spelling of 112531200 in words is "one hundred twelve million, five hundred thirty-one thousand, two hundred".