321431122241221 has 8 divisors (see below), whose sum is σ = 340342030174464. Its totient is φ = 302520569292480.

The previous prime is 321431122241179. The next prime is 321431122241231. The reversal of 321431122241221 is 122142221134123.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-321431122241221 is a prime.

It is a super-2 number, since 2×321431122241221² (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 (321431122241231) 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 7 ways as a sum of consecutive naturals, for example, 86880775 + ... + 90504868.

It is an arithmetic number, because the mean of its divisors is an integer number (42542753771808).

Almost surely, 2^{321431122241221} is an apocalyptic number.

It is an amenable number.

321431122241221 is a deficient number, since it is larger than the sum of its proper divisors (18910907933243).

321431122241221 is a wasteful number, since it uses less digits than its factorization.

321431122241221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177492251.

The product of its digits is 9216, while the sum is 31.

Adding to 321431122241221 its reverse (122142221134123), we get a palindrome (443573343375344).

The spelling of 321431122241221 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred twenty-two million, two hundred forty-one thousand, two hundred twenty-one".