122405122223341 has 2 divisors, whose sum is σ = 122405122223342. Its totient is φ = 122405122223340.

The previous prime is 122405122223323. The next prime is 122405122223357. The reversal of 122405122223341 is 143322221504221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109305456755625 + 13099665467716 = 10454925^2 + 3619346^2 .

It is a cyclic number.

It is not a de Polignac number, because 122405122223341 - 2⁵ = 122405122223309 is a prime.

It is a super-3 number, since 3×122405122223341³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122405122223297 and 122405122223306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122405122226341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61202561111670 + 61202561111671.

It is an arithmetic number, because the mean of its divisors is an integer number (61202561111671).

Almost surely, 2^{122405122223341} is an apocalyptic number.

It is an amenable number.

122405122223341 is a deficient number, since it is larger than the sum of its proper divisors (1).

122405122223341 is an equidigital number, since it uses as much as digits as its factorization.

122405122223341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 122405122223341 its reverse (143322221504221), we get a palindrome (265727343727562).

The spelling of 122405122223341 in words is "one hundred twenty-two trillion, four hundred five billion, one hundred twenty-two million, two hundred twenty-three thousand, three hundred forty-one".