116112 has 40 divisors (see below), whose sum is σ = 312480. Its totient is φ = 37120.

The previous prime is 116107. The next prime is 116113. The reversal of 116112 is 211611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (116113) by changing a digit.

116112 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹¹⁶¹¹² is an apocalyptic number.

116112 is a gapful number since it is divisible by the number (12) 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 116112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

116112 is an abundant number, since it is smaller than the sum of its proper divisors (196368).

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

116112 is a wasteful number, since it uses less digits than its factorization.

116112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

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

The square root of 116112 is about 340.7521093112. The cubic root of 116112 is about 48.7856806504.

Adding to 116112 its reverse (211611), we get a palindrome (327723).

The spelling of 116112 in words is "one hundred sixteen thousand, one hundred twelve".