122345122333261 has 2 divisors, whose sum is σ = 122345122333262. Its totient is φ = 122345122333260.

The previous prime is 122345122333253. The next prime is 122345122333267. The reversal of 122345122333261 is 162333221543221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65744026176361 + 56601096156900 = 8108269^2 + 7523370^2 .

It is a cyclic number.

It is not a de Polignac number, because 122345122333261 - 2³ = 122345122333253 is a prime.

It is a super-3 number, since 3×122345122333261³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122345122333267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61172561166630 + 61172561166631.

It is an arithmetic number, because the mean of its divisors is an integer number (61172561166631).

Almost surely, 2^{122345122333261} is an apocalyptic number.

It is an amenable number.

122345122333261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122345122333261 is an equidigital number, since it uses as much as digits as its factorization.

122345122333261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 40.

Adding to 122345122333261 its reverse (162333221543221), we get a palindrome (284678343876482).

The spelling of 122345122333261 in words is "one hundred twenty-two trillion, three hundred forty-five billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred sixty-one".