412122033221 has 2 divisors, whose sum is σ = 412122033222. Its totient is φ = 412122033220.

The previous prime is 412122033199. The next prime is 412122033229. The reversal of 412122033221 is 122330221214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323204757121 + 88917276100 = 568511^2 + 298190^2 .

It is a cyclic number.

It is not a de Polignac number, because 412122033221 - 2²⁶ = 412054924357 is a prime.

It is a super-2 number, since 2×412122033221² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412122033229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206061016610 + 206061016611.

It is an arithmetic number, because the mean of its divisors is an integer number (206061016611).

Almost surely, 2^412122033221 is an apocalyptic number.

It is an amenable number.

412122033221 is a deficient number, since it is larger than the sum of its proper divisors (1).

412122033221 is an equidigital number, since it uses as much as digits as its factorization.

412122033221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 412122033221 its reverse (122330221214), we get a palindrome (534452254435).

The spelling of 412122033221 in words is "four hundred twelve billion, one hundred twenty-two million, thirty-three thousand, two hundred twenty-one".