112311200 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 42040320.

The previous prime is 112311191. The next prime is 112311209. The reversal of 112311200 is 2113211.

It is an interprime number because it is at equal distance from previous prime (112311191) and next prime (112311209).

It is a super-2 number, since 2×112311200² = 25227611290880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112311209) 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, 1090349 + ... + 1090451.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^112311200 is an apocalyptic number.

112311200 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 112311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

112311200 is an abundant number, since it is smaller than the sum of its proper divisors (180170080).

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

112311200 is a wasteful number, since it uses less digits than its factorization.

112311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112311200 is about 10597.6978632154. The cubic root of 112311200 is about 482.4744901365.

Adding to 112311200 its reverse (2113211), we get a palindrome (114424411).

The spelling of 112311200 in words is "one hundred twelve million, three hundred eleven thousand, two hundred".