122287120084769 has 2 divisors, whose sum is σ = 122287120084770. Its totient is φ = 122287120084768.

The previous prime is 122287120084721. The next prime is 122287120084777. The reversal of 122287120084769 is 967480021782221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103958660704144 + 18328459380625 = 10196012^2 + 4281175^2 .

It is a cyclic number.

It is not a de Polignac number, because 122287120084769 - 2⁸ = 122287120084513 is a prime.

It is a super-2 number, since 2×122287120084769² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122287120084799) 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, 61143560042384 + 61143560042385.

It is an arithmetic number, because the mean of its divisors is an integer number (61143560042385).

Almost surely, 2^{122287120084769} is an apocalyptic number.

It is an amenable number.

122287120084769 is a deficient number, since it is larger than the sum of its proper divisors (1).

122287120084769 is an equidigital number, since it uses as much as digits as its factorization.

122287120084769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 122287120084769 in words is "one hundred twenty-two trillion, two hundred eighty-seven billion, one hundred twenty million, eighty-four thousand, seven hundred sixty-nine".