3121223322321 has 12 divisors (see below), whose sum is σ = 4855236279348. Its totient is φ = 1920752813664.

The previous prime is 3121223322271. The next prime is 3121223322359. The reversal of 3121223322321 is 1232233221213.

3121223322321 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 2 + 332 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1191068832321 + 1930154490000 = 1091361^2 + 1389300^2 .

It is not a de Polignac number, because 3121223322321 - 2¹⁵ = 3121223289553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3121223322361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13338561090 + ... + 13338561323.

It is an arithmetic number, because the mean of its divisors is an integer number (404603023279).

Almost surely, 2^{3121223322321} is an apocalyptic number.

It is an amenable number.

3121223322321 is a deficient number, since it is larger than the sum of its proper divisors (1734012957027).

3121223322321 is a wasteful number, since it uses less digits than its factorization.

3121223322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26677122432 (or 26677122429 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 3121223322321 its reverse (1232233221213), we get a palindrome (4353456543534).

The spelling of 3121223322321 in words is "three trillion, one hundred twenty-one billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty-one".