112082112 has 84 divisors (see below), whose sum is σ = 331679296. Its totient is φ = 36149760.

The previous prime is 112082107. The next prime is 112082149. The reversal of 112082112 is 211280211.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14718 + ... + 20994.

Almost surely, 2^112082112 is an apocalyptic number.

112082112 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 112082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165839648).

112082112 is an abundant number, since it is smaller than the sum of its proper divisors (219597184).

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

112082112 is a wasteful number, since it uses less digits than its factorization.

112082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 112082112 is about 10586.8839608262. The cubic root of 112082112 is about 482.1462226314.

The spelling of 112082112 in words is "one hundred twelve million, eighty-two thousand, one hundred twelve".