8212722313221 has 12 divisors (see below), whose sum is σ = 11862860074572. Its totient is φ = 5475130229376.

The previous prime is 8212722313207. The next prime is 8212722313261. The reversal of 8212722313221 is 1223132272128.

8212722313221 is a `hidden beast` number, since 82 + 1 + 27 + 2 + 231 + 322 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2930125721121 + 5282596592100 = 1711761^2 + 2298390^2 .

It is not a de Polignac number, because 8212722313221 - 2⁹ = 8212722312709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8212722313261) 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 11 ways as a sum of consecutive naturals, for example, 1769875 + ... + 4422431.

It is an arithmetic number, because the mean of its divisors is an integer number (988571672881).

Almost surely, 2^{8212722313221} is an apocalyptic number.

It is an amenable number.

8212722313221 is a deficient number, since it is larger than the sum of its proper divisors (3650137761351).

8212722313221 is a wasteful number, since it uses less digits than its factorization.

8212722313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996580 (or 2996577 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 8212722313221 its reverse (1223132272128), we get a palindrome (9435854585349).

The spelling of 8212722313221 in words is "eight trillion, two hundred twelve billion, seven hundred twenty-two million, three hundred thirteen thousand, two hundred twenty-one".