212211221000000 has 196 divisors, whose sum is σ = 557339936348124. Its totient is φ = 79891276800000.

The previous prime is 212211220999991. The next prime is 212211221000003. The reversal of 212211221000000 is 122112212.

It can be written as a sum of positive squares in 14 ways, for example, as 212063260761664 + 147960238336 = 14562392^2 + 384656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211221000003) 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 27 ways as a sum of consecutive naturals, for example, 10758494 + ... + 23241506.

Almost surely, 2^{212211221000000} is an apocalyptic number.

212211221000000 is a gapful number since it is divisible by the number (20) 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 212211221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278669968174062).

212211221000000 is an abundant number, since it is smaller than the sum of its proper divisors (345128715348124).

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

212211221000000 is an frugal number, since it uses more digits than its factorization.

212211221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483072 (or 12483037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212211221000000 its reverse (122112212), we get a palindrome (212211343112212).

The spelling of 212211221000000 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million", and thus it is an aban number.