112487200 has 144 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 37739520.

The previous prime is 112487173. The next prime is 112487209. The reversal of 112487200 is 2784211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (112487209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296611 + ... + 296989.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^112487200 is an apocalyptic number.

112487200 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 112487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

112487200 is an abundant number, since it is smaller than the sum of its proper divisors (208117280).

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

112487200 is a wasteful number, since it uses less digits than its factorization.

112487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 112487200 is about 10605.9983028473. The cubic root of 112487200 is about 482.7263830690.

The spelling of 112487200 in words is "one hundred twelve million, four hundred eighty-seven thousand, two hundred".