9992112 has 80 divisors (see below), whose sum is σ = 28331520. Its totient is φ = 3015936.

The previous prime is 9992083. The next prime is 9992113. The reversal of 9992112 is 2112999.

9992112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (2916) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (9992113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41689 + ... + 41927.

It is an arithmetic number, because the mean of its divisors is an integer number (354144).

Almost surely, 2^9992112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165760).

9992112 is an abundant number, since it is smaller than the sum of its proper divisors (18339408).

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

9992112 is a wasteful number, since it uses less digits than its factorization.

9992112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 2916, while the sum is 33.

The square root of 9992112 is about 3161.0302118139. The cubic root of 9992112 is about 215.3868068328.

The spelling of 9992112 in words is "nine million, nine hundred ninety-two thousand, one hundred twelve".