212213440020321 has 12 divisors (see below), whose sum is σ = 306532052803860. Its totient is φ = 141474921297120.

The previous prime is 212213440020301. The next prime is 212213440020397. The reversal of 212213440020321 is 123020044312212.

212213440020321 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 34 + 400 + 203 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98703827600400 + 113509612419921 = 9934980^2 + 10654089^2 .

It is not a de Polignac number, because 212213440020321 - 2¹⁰ = 212213440019297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212213440020301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56873290 + ... + 60489651.

It is an arithmetic number, because the mean of its divisors is an integer number (25544337733655).

Almost surely, 2^{212213440020321} is an apocalyptic number.

It is an amenable number.

212213440020321 is a deficient number, since it is larger than the sum of its proper divisors (94318612783539).

212213440020321 is a wasteful number, since it uses less digits than its factorization.

212213440020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117563856 (or 117563853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212213440020321 its reverse (123020044312212), we get a palindrome (335233484332533).

The spelling of 212213440020321 in words is "two hundred twelve trillion, two hundred thirteen billion, four hundred forty million, twenty thousand, three hundred twenty-one".