112499200 has 240 divisors, whose sum is σ = 328800384. Its totient is φ = 37683200.

The previous prime is 112499197. The next prime is 112499249. The reversal of 112499200 is 2994211.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 2393577 + ... + 2393623.

Almost surely, 2^112499200 is an apocalyptic number.

112499200 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 112499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164400192).

112499200 is an abundant number, since it is smaller than the sum of its proper divisors (216301184).

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

112499200 is a wasteful number, since it uses less digits than its factorization.

112499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 112499200 is about 10606.5640053695. The cubic root of 112499200 is about 482.7435480164.

It can be divided in two parts, 11249 and 9200, that added together give a square (20449 = 143²).

The spelling of 112499200 in words is "one hundred twelve million, four hundred ninety-nine thousand, two hundred".