2122122112 has 64 divisors (see below), whose sum is σ = 4760870400. Its totient is φ = 933465600.

The previous prime is 2122122109. The next prime is 2122122137. The reversal of 2122122112 is 2112212212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19339 + ... + 67957.

It is an arithmetic number, because the mean of its divisors is an integer number (74388600).

Almost surely, 2^2122122112 is an apocalyptic number.

2122122112 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 2122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380435200).

2122122112 is an abundant number, since it is smaller than the sum of its proper divisors (2638748288).

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

2122122112 is a wasteful number, since it uses less digits than its factorization.

2122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48675 (or 48663 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 2122122112 is about 46066.4966325854. The cubic root of 2122122112 is about 1285.0601519178.

Adding to 2122122112 its reverse (2112212212), we get a palindrome (4234334324).

The spelling of 2122122112 in words is "two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".