321420233411221 has 18 divisors (see below), whose sum is σ = 373935777421590. Its totient is φ = 275474491321680.

The previous prime is 321420233411203. The next prime is 321420233411231. The reversal of 321420233411221 is 122114332024123.

It can be written as a sum of positive squares in only one way, i.e., 271336502567025 + 50083730844196 = 16472295^2 + 7076986^2 .

It is not a de Polignac number, because 321420233411221 - 2⁷ = 321420233411093 is a prime.

It is a super-2 number, since 2×321420233411221² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321420233411231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14888137495 + ... + 14888159083.

It is an arithmetic number, because the mean of its divisors is an integer number (20774209856755).

Almost surely, 2^{321420233411221} is an apocalyptic number.

It is an amenable number.

321420233411221 is a deficient number, since it is larger than the sum of its proper divisors (52515544010369).

321420233411221 is an frugal number, since it uses more digits than its factorization.

321420233411221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56465 (or 39027 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 321420233411221 its reverse (122114332024123), we get a palindrome (443534565435344).

The spelling of 321420233411221 in words is "three hundred twenty-one trillion, four hundred twenty billion, two hundred thirty-three million, four hundred eleven thousand, two hundred twenty-one".