2122212122212 has 192 divisors, whose sum is σ = 4721461448704. Its totient is φ = 812312686080.

The previous prime is 2122212122209. The next prime is 2122212122243.

2122212122212 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801741073 + ... + 801743719.

Almost surely, 2^{2122212122212} 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 2122212122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360730724352).

2122212122212 is an abundant number, since it is smaller than the sum of its proper divisors (2599249326492).

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

2122212122212 is a wasteful number, since it uses less digits than its factorization.

2122212122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3176 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

Multiplying 2122212122212 by its sum of digits (22), we get a palindrome (46688666688664).

The spelling of 2122212122212 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twelve".