212221200321 has 36 divisors (see below), whose sum is σ = 348411236628. Its totient is φ = 123724075968.

The previous prime is 212221200313. The next prime is 212221200371. The reversal of 212221200321 is 123002122212.

212221200321 is a `hidden beast` number, since 2 + 1 + 222 + 120 + 0 + 321 = 666.

212221200321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48208350096 + 164012850225 = 219564^2 + 404985^2 .

It is not a de Polignac number, because 212221200321 - 2³ = 212221200313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212221200294 and 212221200303.

It is not an unprimeable number, because it can be changed into a prime (212221200371) 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 35 ways as a sum of consecutive naturals, for example, 2470030 + ... + 2554503.

Almost surely, 2^212221200321 is an apocalyptic number.

It is an amenable number.

212221200321 is a deficient number, since it is larger than the sum of its proper divisors (136190036307).

212221200321 is a wasteful number, since it uses less digits than its factorization.

212221200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024590 (or 5024568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212221200321 its reverse (123002122212), we get a palindrome (335223322533).

The spelling of 212221200321 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred thousand, three hundred twenty-one".