2211122112 has 224 divisors, whose sum is σ = 6531985920. Its totient is φ = 658741248.

The previous prime is 2211122101. The next prime is 2211122113. The reversal of 2211122112 is 2112211122.

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 = 2211122091 and 2211122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30289308 + ... + 30289380.

Almost surely, 2^2211122112 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 2211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265992960).

2211122112 is an abundant number, since it is smaller than the sum of its proper divisors (4320863808).

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

2211122112 is an equidigital number, since it uses as much as digits as its factorization.

2211122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 120 counting only the distinct ones).

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

The square root of 2211122112 is about 47022.5702402580. The cubic root of 2211122112 is about 1302.7794794976.

Adding to 2211122112 its reverse (2112211122), we get a palindrome (4323333234).

The spelling of 2211122112 in words is "two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".