2122112112 has 160 divisors (see below), whose sum is σ = 5915621376. Its totient is φ = 653875200.

The previous prime is 2122112107. The next prime is 2122112119. The reversal of 2122112112 is 2112112212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2122112091 and 2122112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122112119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7830537 + ... + 7830807.

Almost surely, 2^2122112112 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 2122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957810688).

2122112112 is an abundant number, since it is smaller than the sum of its proper divisors (3793509264).

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

2122112112 is a wasteful number, since it uses less digits than its factorization.

2122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 2122112112 is about 46066.3880937067. The cubic root of 2122112112 is about 1285.0581334003.

Adding to 2122112112 its reverse (2112112212), we get a palindrome (4234224324).

It can be divided in two parts, 21221 and 12112, that added together give a palindrome (33333).

The spelling of 2122112112 in words is "two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".