12157179051961 has 2 divisors, whose sum is σ = 12157179051962. Its totient is φ = 12157179051960.

The previous prime is 12157179051947. The next prime is 12157179052063. The reversal of 12157179051961 is 16915097175121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12056652008361 + 100527043600 = 3472269^2 + 317060^2 .

It is a cyclic number.

It is not a de Polignac number, because 12157179051961 - 2¹⁹ = 12157178527673 is a prime.

It is not a weakly prime, because it can be changed into another prime (12157179451961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6078589525980 + 6078589525981.

It is an arithmetic number, because the mean of its divisors is an integer number (6078589525981).

Almost surely, 2^{12157179051961} is an apocalyptic number.

It is an amenable number.

12157179051961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12157179051961 is an equidigital number, since it uses as much as digits as its factorization.

12157179051961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1190700, while the sum is 55.

The spelling of 12157179051961 in words is "twelve trillion, one hundred fifty-seven billion, one hundred seventy-nine million, fifty-one thousand, nine hundred sixty-one".