112642992 has 120 divisors (see below), whose sum is σ = 393070080. Its totient is φ = 29255040.

The previous prime is 112642987. The next prime is 112643009. The reversal of 112642992 is 299246211.

112642992 is a `hidden beast` number, since 1 + 1 + 2 + 642 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6009 + ... + 16167.

It is an arithmetic number, because the mean of its divisors is an integer number (3275584).

Almost surely, 2^112642992 is an apocalyptic number.

112642992 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 112642992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

112642992 is an abundant number, since it is smaller than the sum of its proper divisors (280427088).

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

112642992 is a wasteful number, since it uses less digits than its factorization.

112642992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10182 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 112642992 is about 10613.3402847548. The cubic root of 112642992 is about 482.9491349802.

The spelling of 112642992 in words is "one hundred twelve million, six hundred forty-two thousand, nine hundred ninety-two".