122616434081 has 2 divisors, whose sum is σ = 122616434082. Its totient is φ = 122616434080.

The previous prime is 122616434029. The next prime is 122616434099. The reversal of 122616434081 is 180434616221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122258619025 + 357815056 = 349655^2 + 18916^2 .

It is a cyclic number.

It is not a de Polignac number, because 122616434081 - 2²² = 122612239777 is a prime.

It is a super-3 number, since 3×122616434081³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (122616434581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61308217040 + 61308217041.

It is an arithmetic number, because the mean of its divisors is an integer number (61308217041).

Almost surely, 2^122616434081 is an apocalyptic number.

It is an amenable number.

122616434081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122616434081 is an equidigital number, since it uses as much as digits as its factorization.

122616434081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 122616434081 in words is "one hundred twenty-two billion, six hundred sixteen million, four hundred thirty-four thousand, eighty-one".