111200 has 36 divisors (see below), whose sum is σ = 273420. Its totient is φ = 44160.

The previous prime is 111191. The next prime is 111211. The reversal of 111200 is 2111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 731 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (7595).

2¹¹¹²⁰⁰ is an apocalyptic number.

111200 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 111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136710).

111200 is an abundant number, since it is smaller than the sum of its proper divisors (162220).

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

111200 is a wasteful number, since it uses less digits than its factorization.

111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 111200 is about 333.4666400107. The cubic root of 111200 is about 48.0878022559.

Adding to 111200 its reverse (2111), we get a palindrome (113311).

The spelling of 111200 in words is "one hundred eleven thousand, two hundred", and thus it is an iban number.