412122121221213 has 12 divisors (see below), whose sum is σ = 641078855233180. Its totient is φ = 253613613059136.

The previous prime is 412122121221163. The next prime is 412122121221233. The reversal of 412122121221213 is 312122121221214.

412122121221213 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 221 + 2 + 1 + 221 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16174127193849 + 395947994027364 = 4021707^2 + 19898442^2 .

It is not a de Polignac number, because 412122121221213 - 2⁶ = 412122121221149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412122121221233) 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, 1761205646128 + ... + 1761205646361.

Almost surely, 2^{412122121221213} is an apocalyptic number.

It is an amenable number.

412122121221213 is a deficient number, since it is larger than the sum of its proper divisors (228956734011967).

412122121221213 is a wasteful number, since it uses less digits than its factorization.

412122121221213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522411292508 (or 3522411292505 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 412122121221213 its reverse (312122121221214), we get a palindrome (724244242442427).

Subtracting from 412122121221213 its reverse (312122121221214), we obtain a palindrome (99999999999999).

The spelling of 412122121221213 in words is "four hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred thirteen".