121936667328017 has 2 divisors, whose sum is σ = 121936667328018. Its totient is φ = 121936667328016.

The previous prime is 121936667327953. The next prime is 121936667328037. The reversal of 121936667328017 is 710823766639121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119923875352576 + 2012791975441 = 10950976^2 + 1418729^2 .

It is an emirp because it is prime and its reverse (710823766639121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121936667328017 - 2⁶ = 121936667327953 is a prime.

It is not a weakly prime, because it can be changed into another prime (121936667328037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60968333664008 + 60968333664009.

It is an arithmetic number, because the mean of its divisors is an integer number (60968333664009).

Almost surely, 2^{121936667328017} is an apocalyptic number.

It is an amenable number.

121936667328017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121936667328017 is an equidigital number, since it uses as much as digits as its factorization.

121936667328017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27433728, while the sum is 62.

The spelling of 121936667328017 in words is "one hundred twenty-one trillion, nine hundred thirty-six billion, six hundred sixty-seven million, three hundred twenty-eight thousand, seventeen".