112200 has 96 divisors (see below), whose sum is σ = 401760. Its totient is φ = 25600.

The previous prime is 112199. The next prime is 112207. The reversal of 112200 is 2211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8 and base 11.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112207) 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, 6592 + ... + 6608.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2¹¹²²⁰⁰ is an apocalyptic number.

112200 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 112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

112200 is an abundant number, since it is smaller than the sum of its proper divisors (289560).

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

112200 is a wasteful number, since it uses less digits than its factorization.

112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 112200 is about 334.9626844889. The cubic root of 112200 is about 48.2315203916.

Adding to 112200 its reverse (2211), we get a palindrome (114411).

It can be divided in two parts, 11 and 2200, that added together give a triangular number (2211 = T₆₆).

The spelling of 112200 in words is "one hundred twelve thousand, two hundred", and thus it is an iban number.