2912112 has 120 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 824256.

The previous prime is 2912081. The next prime is 2912131. The reversal of 2912112 is 2112192.

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

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 a nialpdrome in base 12.

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, 27163 + ... + 27269.

2^2912112 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 2912112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2912112 is an abundant number, since it is smaller than the sum of its proper divisors (6837264).

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

2912112 is a wasteful number, since it uses less digits than its factorization.

2912112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 2912112 is about 1706.4911368068. The cubic root of 2912112 is about 142.8025703937.

The spelling of 2912112 in words is "two million, nine hundred twelve thousand, one hundred twelve".