112280200 has 48 divisors (see below), whose sum is σ = 268124580. Its totient is φ = 43695360.

The previous prime is 112280173. The next prime is 112280209. The reversal of 112280200 is 2082211.

It can be written as a sum of positive squares in 6 ways, for example, as 91431844 + 20848356 = 9562^2 + 4566^2 .

It is a super-3 number, since 3×112280200³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112280209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 14986.

Almost surely, 2^112280200 is an apocalyptic number.

112280200 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 112280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134062290).

112280200 is an abundant number, since it is smaller than the sum of its proper divisors (155844380).

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

112280200 is a wasteful number, since it uses less digits than its factorization.

112280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15226 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 112280200 is about 10596.2351804780. The cubic root of 112280200 is about 482.4300953789.

The spelling of 112280200 in words is "one hundred twelve million, two hundred eighty thousand, two hundred".