3121223213106 has 48 divisors (see below), whose sum is σ = 7017027088344. Its totient is φ = 1001852623872.

The previous prime is 3121223213071. The next prime is 3121223213153. The reversal of 3121223213106 is 6013123221213.

3121223213106 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 22 + 321 + 310 + 6 = 666.

3121223213106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2418880325625 + 702342887481 = 1555275^2 + 838059^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3121223213106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24092725 + ... + 24221928.

Almost surely, 2^{3121223213106} is an apocalyptic number.

3121223213106 is an abundant number, since it is smaller than the sum of its proper divisors (3895803875238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121223213106 is a wasteful number, since it uses less digits than its factorization.

3121223213106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48314795 (or 48314792 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3121223213106 its reverse (6013123221213), we get a palindrome (9134346434319).

The spelling of 3121223213106 in words is "three trillion, one hundred twenty-one billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred six".