121959676959121 has 2 divisors, whose sum is σ = 121959676959122. Its totient is φ = 121959676959120.

The previous prime is 121959676959083. The next prime is 121959676959137.

121959676959121 is nontrivially palindromic in base 10.

It is the 4508505-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101654063828496 + 20305613130625 = 10082364^2 + 4506175^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 121959676959121 - 2¹¹ = 121959676957073 is a prime.

It is not a weakly prime, because it can be changed into another prime (121959676959181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60979838479560 + 60979838479561.

It is an arithmetic number, because the mean of its divisors is an integer number (60979838479561).

Almost surely, 2^{121959676959121} is an apocalyptic number.

It is an amenable number.

121959676959121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121959676959121 is an equidigital number, since it uses as much as digits as its factorization.

121959676959121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 165337200, while the sum is 73.

The spelling of 121959676959121 in words is "one hundred twenty-one trillion, nine hundred fifty-nine billion, six hundred seventy-six million, nine hundred fifty-nine thousand, one hundred twenty-one".