12013662041329 has 27 divisors (see below), whose sum is σ = 13236032165643. Its totient is φ = 10899163598544.

The previous prime is 12013662041299. The next prime is 12013662041377. The reversal of 12013662041329 is 92314026631021.

The square root of 12013662041329 is 3466073.

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

It can be written as a sum of positive squares in only one way, i.e., 1777168941025 + 10236493100304 = 1333105^2 + 3199452^2 .

It is not a de Polignac number, because 12013662041329 - 2¹³ = 12013662033137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12013662041291 and 12013662041300.

It is not an unprimeable number, because it can be changed into a prime (12013662041399) 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, 2658475732 + ... + 2658480250.

Almost surely, 2^{12013662041329} is an apocalyptic number.

12013662041329 is the 3466073-rd square number.

12013662041329 is the 1733037-th centered octagonal number.

It is an amenable number.

12013662041329 is a deficient number, since it is larger than the sum of its proper divisors (1222370124314).

12013662041329 is an frugal number, since it uses more digits than its factorization.

12013662041329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 12013662041329 in words is "twelve trillion, thirteen billion, six hundred sixty-two million, forty-one thousand, three hundred twenty-nine".