12685129901161 has 27 divisors (see below), whose sum is σ = 14088105365061. Its totient is φ = 11418607499904.

The previous prime is 12685129901117. The next prime is 12685129901179. The reversal of 12685129901161 is 16110992158621.

The square root of 12685129901161 is 3561619.

It is a perfect power (a square), and thus also a powerful number.

12685129901161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 273910923225 + 12411218977936 = 523365^2 + 3522956^2 .

It is not a de Polignac number, because 12685129901161 - 2¹⁹ = 12685129376873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12685129901099 and 12685129901108.

It is not an unprimeable number, because it can be changed into a prime (12685129901761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1392588475 + ... + 1392597583.

Almost surely, 2^{12685129901161} is an apocalyptic number.

12685129901161 is the 3561619-th square number.

12685129901161 is the 1780810-th centered octagonal number.

It is an amenable number.

12685129901161 is a deficient number, since it is larger than the sum of its proper divisors (1402975463900).

12685129901161 is an frugal number, since it uses more digits than its factorization.

12685129901161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18298 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 52.

The spelling of 12685129901161 in words is "twelve trillion, six hundred eighty-five billion, one hundred twenty-nine million, nine hundred one thousand, one hundred sixty-one".