112418800 has 90 divisors (see below), whose sum is σ = 292636032. Its totient is φ = 41483520.

The previous prime is 112418797. The next prime is 112418809. The reversal of 112418800 is 8814211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112418809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66769 + ... + 68431.

Almost surely, 2^112418800 is an apocalyptic number.

112418800 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 112418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146318016).

112418800 is an abundant number, since it is smaller than the sum of its proper divisors (180217232).

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

112418800 is a wasteful number, since it uses less digits than its factorization.

112418800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 112418800 is about 10602.7732221339. The cubic root of 112418800 is about 482.6285195509.

The spelling of 112418800 in words is "one hundred twelve million, four hundred eighteen thousand, eight hundred".