122736511052521 has 2 divisors, whose sum is σ = 122736511052522. Its totient is φ = 122736511052520.

The previous prime is 122736511052497. The next prime is 122736511052537. The reversal of 122736511052521 is 125250115637221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99676961307225 + 23059549745296 = 9983835^2 + 4802036^2 .

It is a cyclic number.

It is not a de Polignac number, because 122736511052521 - 2²³ = 122736502663913 is a prime.

It is a super-2 number, since 2×122736511052521² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122736511052621) 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, 61368255526260 + 61368255526261.

It is an arithmetic number, because the mean of its divisors is an integer number (61368255526261).

Almost surely, 2^{122736511052521} is an apocalyptic number.

It is an amenable number.

122736511052521 is a deficient number, since it is larger than the sum of its proper divisors (1).

122736511052521 is an equidigital number, since it uses as much as digits as its factorization.

122736511052521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 43.

Adding to 122736511052521 its reverse (125250115637221), we get a palindrome (247986626689742).

The spelling of 122736511052521 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, five hundred eleven million, fifty-two thousand, five hundred twenty-one".