12606122133 has 96 divisors (see below), whose sum is σ = 21082913280. Its totient is φ = 7189902720.

The previous prime is 12606122117. The next prime is 12606122153. The reversal of 12606122133 is 33122160621.

12606122133 is a `hidden beast` number, since 1 + 2 + 606 + 1 + 2 + 21 + 33 = 666.

12606122133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12606122133 - 2⁴ = 12606122117 is a prime.

It is a super-2 number, since 2×12606122133² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12606122097 and 12606122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606122153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13311166 + ... + 13312112.

It is an arithmetic number, because the mean of its divisors is an integer number (219613680).

Almost surely, 2^12606122133 is an apocalyptic number.

It is an amenable number.

12606122133 is a deficient number, since it is larger than the sum of its proper divisors (8476791147).

12606122133 is a wasteful number, since it uses less digits than its factorization.

12606122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12606122133 its reverse (33122160621), we get a palindrome (45728282754).

The spelling of 12606122133 in words is "twelve billion, six hundred six million, one hundred twenty-two thousand, one hundred thirty-three".