112116 has 12 divisors (see below), whose sum is σ = 261632. Its totient is φ = 37368.

The previous prime is 112111. The next prime is 112121. The reversal of 112116 is 611211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112111) and next prime (112121).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 9343 = 112116 / (1 + 1 + 2 + 1 + 1 + 6).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112116.

It is not an unprimeable number, because it can be changed into a prime (112111) by changing a digit.

112116 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 4660 + ... + 4683.

2¹¹²¹¹⁶ is an apocalyptic number.

It is an amenable number.

112116 is an abundant number, since it is smaller than the sum of its proper divisors (149516).

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

112116 is a wasteful number, since it uses less digits than its factorization.

112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9348 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 112116 is about 334.8372739108. The cubic root of 112116 is about 48.2194810000.

Adding to 112116 its reverse (611211), we get a palindrome (723327).

The spelling of 112116 in words is "one hundred twelve thousand, one hundred sixteen".