112982112 has 36 divisors (see below), whose sum is σ = 321293700. Its totient is φ = 37660608.

The previous prime is 112982099. The next prime is 112982117. The reversal of 112982112 is 211289211.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112982117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195862 + ... + 196437.

It is an arithmetic number, because the mean of its divisors is an integer number (8924825).

Almost surely, 2^112982112 is an apocalyptic number.

112982112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112982112 is an abundant number, since it is smaller than the sum of its proper divisors (208311588).

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

112982112 is a wasteful number, since it uses less digits than its factorization.

112982112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392315 (or 392304 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 112982112 is about 10629.3043986895. The cubic root of 112982112 is about 483.4333007123.

The spelling of 112982112 in words is "one hundred twelve million, nine hundred eighty-two thousand, one hundred twelve".