2132112 has 40 divisors (see below), whose sum is σ = 5641504. Its totient is φ = 693504.

The previous prime is 2132107. The next prime is 2132113. The reversal of 2132112 is 2112312.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 d-powerful number, because it can be written as 2 + 1 + 3⁷ + 2¹⁵ + 1 + 1 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1548 + ... + 2580.

2^2132112 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 2132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820752).

2132112 is an abundant number, since it is smaller than the sum of its proper divisors (3509392).

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

2132112 is a wasteful number, since it uses less digits than its factorization.

2132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 2132112 is about 1460.1753319379. The cubic root of 2132112 is about 128.7073469168.

Adding to 2132112 its reverse (2112312), we get a palindrome (4244424).

The spelling of 2132112 in words is "two million, one hundred thirty-two thousand, one hundred twelve".