312402321220221 has 6 divisors (see below), whose sum is σ = 451247797318110. Its totient is φ = 208268214146808.

The previous prime is 312402321220211. The next prime is 312402321220237. The reversal of 312402321220221 is 122022123204213.

312402321220221 is a `hidden beast` number, since 3 + 1 + 2 + 402 + 3 + 2 + 12 + 20 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228808128224025 + 83594192996196 = 15126405^2 + 9142986^2 .

It is not a de Polignac number, because 312402321220221 - 2¹⁴ = 312402321203837 is a prime.

It is a super-2 number, since 2×312402321220221² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312402321220211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17355684512226 + ... + 17355684512243.

It is an arithmetic number, because the mean of its divisors is an integer number (75207966219685).

Almost surely, 2^{312402321220221} is an apocalyptic number.

It is an amenable number.

312402321220221 is a deficient number, since it is larger than the sum of its proper divisors (138845476097889).

312402321220221 is a wasteful number, since it uses less digits than its factorization.

312402321220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34711369024475 (or 34711369024472 counting only the distinct ones).

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

Adding to 312402321220221 its reverse (122022123204213), we get a palindrome (434424444424434).

The spelling of 312402321220221 in words is "three hundred twelve trillion, four hundred two billion, three hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".