12129861334501 has 2 divisors, whose sum is σ = 12129861334502. Its totient is φ = 12129861334500.

The previous prime is 12129861334411. The next prime is 12129861334537. The reversal of 12129861334501 is 10543316892121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8535898483876 + 3593962850625 = 2921626^2 + 1895775^2 .

It is a cyclic number.

It is not a de Polignac number, because 12129861334501 - 2³⁷ = 11992422381029 is a prime.

It is a super-2 number, since 2×12129861334501² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12129861344501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6064930667250 + 6064930667251.

It is an arithmetic number, because the mean of its divisors is an integer number (6064930667251).

Almost surely, 2^{12129861334501} is an apocalyptic number.

It is an amenable number.

12129861334501 is a deficient number, since it is larger than the sum of its proper divisors (1).

12129861334501 is an equidigital number, since it uses as much as digits as its factorization.

12129861334501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 12129861334501 in words is "twelve trillion, one hundred twenty-nine billion, eight hundred sixty-one million, three hundred thirty-four thousand, five hundred one".