212422222224212 has 576 divisors, whose sum is σ = 532257675264000. Its totient is φ = 72072613831680.

The previous prime is 212422222224167. The next prime is 212422222224217.

212422222224212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212422222224217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12584991989 + ... + 12585008867.

It is an arithmetic number, because the mean of its divisors is an integer number (924058464000).

Almost surely, 2^{212422222224212} is an apocalyptic number.

212422222224212 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 212422222224212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266128837632000).

212422222224212 is an abundant number, since it is smaller than the sum of its proper divisors (319835453039788).

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

212422222224212 is a wasteful number, since it uses less digits than its factorization.

212422222224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17180 (or 17167 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The spelling of 212422222224212 in words is "two hundred twelve trillion, four hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, two hundred twelve".