991112112 has 100 divisors (see below), whose sum is σ = 2887429776. Its totient is φ = 328199040.

The previous prime is 991112107. The next prime is 991112119. The reversal of 991112112 is 211211199.

991112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 not an unprimeable number, because it can be changed into a prime (991112119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201037 + ... + 205907.

Almost surely, 2^991112112 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 991112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443714888).

991112112 is an abundant number, since it is smaller than the sum of its proper divisors (1896317664).

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

991112112 is a wasteful number, since it uses less digits than its factorization.

991112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5033 counting only the distinct ones).

The product of its digits is 324, while the sum is 27.

The square root of 991112112 is about 31481.9331045601. The cubic root of 991112112 is about 997.0285498964.

The spelling of 991112112 in words is "nine hundred ninety-one million, one hundred twelve thousand, one hundred twelve".