12157061113601 has 2 divisors, whose sum is σ = 12157061113602. Its totient is φ = 12157061113600.

The previous prime is 12157061113529. The next prime is 12157061113607. The reversal of 12157061113601 is 10631116075121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8616567289201 + 3540493824400 = 2935399^2 + 1881620^2 .

It is a cyclic number.

It is not a de Polignac number, because 12157061113601 - 2²² = 12157056919297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12157061113607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6078530556800 + 6078530556801.

It is an arithmetic number, because the mean of its divisors is an integer number (6078530556801).

Almost surely, 2^{12157061113601} is an apocalyptic number.

It is an amenable number.

12157061113601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12157061113601 is an equidigital number, since it uses as much as digits as its factorization.

12157061113601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 35.

Adding to 12157061113601 its reverse (10631116075121), we get a palindrome (22788177188722).

The spelling of 12157061113601 in words is "twelve trillion, one hundred fifty-seven billion, sixty-one million, one hundred thirteen thousand, six hundred one".