321232021122321 has 12 divisors (see below), whose sum is σ = 464009126713860. Its totient is φ = 214151303013120.

The previous prime is 321232021122293. The next prime is 321232021122359. The reversal of 321232021122321 is 123221120232123.

321232021122321 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 320 + 2 + 1 + 12 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18943725248721 + 302288295873600 = 4352439^2 + 17386440^2 .

It is not a de Polignac number, because 321232021122321 - 2¹⁴ = 321232021105937 is a prime.

It is a super-2 number, since 2×321232021122321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321232021122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280875540 + ... + 282016901.

It is an arithmetic number, because the mean of its divisors is an integer number (38667427226155).

Almost surely, 2^{321232021122321} is an apocalyptic number.

It is an amenable number.

321232021122321 is a deficient number, since it is larger than the sum of its proper divisors (142777105591539).

321232021122321 is a wasteful number, since it uses less digits than its factorization.

321232021122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562955856 (or 562955853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 321232021122321 its reverse (123221120232123), we get a palindrome (444453141354444).

The spelling of 321232021122321 in words is "three hundred twenty-one trillion, two hundred thirty-two billion, twenty-one million, one hundred twenty-two thousand, three hundred twenty-one".