2112 has 28 divisors (see below), whose sum is σ = 6096. Its totient is φ = 640.

The previous prime is 2111. The next prime is 2113.

It is a happy number.

2112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2111) and next prime (2113).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 8, base 13 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2112.

It is not an unprimeable number, because it can be changed into a prime (2111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 197.

2112 is a gapful number since it is divisible by the number (22) 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 2112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048).

2112 is an abundant number, since it is smaller than the sum of its proper divisors (3984).

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

2112 is a wasteful number, since it uses less digits than its factorization.

2112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 16 counting only the distinct ones).

The product of its digits is 4, while the sum is 6.

The square root of 2112 is about 45.9565011723. The cubic root of 2112 is about 12.8301373200.

It can be divided in two parts, 21 and 12, that multiplied together give a palindrome (252).

The spelling of 2112 in words is "two thousand, one hundred twelve", and thus it is an iban number.

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