12771522106055 has 16 divisors (see below), whose sum is σ = 15337141823520. Its totient is φ = 10209676574592.

The previous prime is 12771522106037. The next prime is 12771522106127. The reversal of 12771522106055 is 55060122517721.

It is a cyclic number.

It is not a de Polignac number, because 12771522106055 - 2¹² = 12771522101959 is a prime.

It is a super-2 number, since 2×12771522106055² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12771522105997 and 12771522106015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42964397 + ... + 43260633.

It is an arithmetic number, because the mean of its divisors is an integer number (958571363970).

Almost surely, 2^{12771522106055} is an apocalyptic number.

12771522106055 is a deficient number, since it is larger than the sum of its proper divisors (2565619717465).

12771522106055 is a wasteful number, since it uses less digits than its factorization.

12771522106055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302578.

The product of its (nonzero) digits is 294000, while the sum is 44.

The spelling of 12771522106055 in words is "twelve trillion, seven hundred seventy-one billion, five hundred twenty-two million, one hundred six thousand, fifty-five".