321240220221321 has 16 divisors (see below), whose sum is σ = 492322176585600. Its totient is φ = 206775314164944.

The previous prime is 321240220221301. The next prime is 321240220221329. The reversal of 321240220221321 is 123122022042123.

321240220221321 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 402 + 2 + 0 + 221 + 32 + 1 = 666.

It is not a de Polignac number, because 321240220221321 - 2¹⁸ = 321240219959177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (321240220221329) 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 15 ways as a sum of consecutive naturals, for example, 205134239461 + ... + 205134241026.

It is an arithmetic number, because the mean of its divisors is an integer number (30770136036600).

Almost surely, 2^{321240220221321} is an apocalyptic number.

It is an amenable number.

321240220221321 is a deficient number, since it is larger than the sum of its proper divisors (171081956364279).

321240220221321 is a wasteful number, since it uses less digits than its factorization.

321240220221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410268480525 (or 410268480519 counting only the distinct ones).

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

Adding to 321240220221321 its reverse (123122022042123), we get a palindrome (444362242263444).

The spelling of 321240220221321 in words is "three hundred twenty-one trillion, two hundred forty billion, two hundred twenty million, two hundred twenty-one thousand, three hundred twenty-one".