2212132122 has 72 divisors (see below), whose sum is σ = 5084125020. Its totient is φ = 694310400.

The previous prime is 2212132103. The next prime is 2212132129. The reversal of 2212132122 is 2212312122.

2212132122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 46253601 + 2165878521 = 6801^2 + 46539^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 2212132095 and 2212132104.

It is not an unprimeable number, because it can be changed into a prime (2212132129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 876222 + ... + 878742.

Almost surely, 2^2212132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542062510).

2212132122 is an abundant number, since it is smaller than the sum of its proper divisors (2871992898).

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

2212132122 is a wasteful number, since it uses less digits than its factorization.

2212132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2596 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2212132122 is about 47033.3086439812. The cubic root of 2212132122 is about 1302.9778131847.

Adding to 2212132122 its reverse (2212312122), we get a palindrome (4424444244).

The spelling of 2212132122 in words is "two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred twenty-two".