2122112 has 32 divisors (see below), whose sum is σ = 4314600. Its totient is φ = 1039360.

The previous prime is 2122103. The next prime is 2122123. The reversal of 2122112 is 2112212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 junction number, because it is equal to n+sod(n) for n = 2122093 and 2122102.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7412 + ... + 7692.

2^2122112 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 2122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157300).

2122112 is an abundant number, since it is smaller than the sum of its proper divisors (2192488).

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

2122112 is an equidigital number, since it uses as much as digits as its factorization.

2122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its digits is 16, while the sum is 11.

The square root of 2122112 is about 1456.7470610919. The cubic root of 2122112 is about 128.5058110793.

Adding to 2122112 its reverse (2112212), we get a palindrome (4234324).

It can be divided in two parts, 212 and 2112, that multiplied together give a palindrome (447744).

The spelling of 2122112 in words is "two million, one hundred twenty-two thousand, one hundred twelve".