112300200 has 144 divisors (see below), whose sum is σ = 381923100. Its totient is φ = 29568000.

The previous prime is 112300157. The next prime is 112300213. The reversal of 112300200 is 2003211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 44435556 + 67864644 = 6666^2 + 8238^2 .

It is a super-2 number, since 2×112300200² = 25222669840080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 159850 + ... + 160550.

Almost surely, 2^112300200 is an apocalyptic number.

112300200 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 112300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190961550).

112300200 is an abundant number, since it is smaller than the sum of its proper divisors (269622900).

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

112300200 is a wasteful number, since it uses less digits than its factorization.

112300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112300200 is about 10597.1788698691. The cubic root of 112300200 is about 482.4587380932.

Adding to 112300200 its reverse (2003211), we get a palindrome (114303411).

The spelling of 112300200 in words is "one hundred twelve million, three hundred thousand, two hundred".