112116312 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 28848960.

The previous prime is 112116311. The next prime is 112116331. The reversal of 112116312 is 213611211.

112116312 is a `hidden beast` number, since 11 + 21 + 1 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (112116311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047763 + ... + 1047869.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^112116312 is an apocalyptic number.

112116312 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 112116312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

112116312 is an abundant number, since it is smaller than the sum of its proper divisors (291224808).

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

112116312 is a wasteful number, since it uses less digits than its factorization.

112116312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 112116312 is about 10588.4990437739. The cubic root of 112116312 is about 482.1952572890.

Adding to 112116312 its reverse (213611211), we get a palindrome (325727523).

The spelling of 112116312 in words is "one hundred twelve million, one hundred sixteen thousand, three hundred twelve".