12772205276217 has 16 divisors (see below), whose sum is σ = 17770176627840. Its totient is φ = 8144525050112.

The previous prime is 12772205276161. The next prime is 12772205276227. The reversal of 12772205276217 is 71267250227721.

It is a cyclic number.

It is not a de Polignac number, because 12772205276217 - 2⁶ = 12772205276153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12772205276217.

It is not an unprimeable number, because it can be changed into a prime (12772205276227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8050459 + ... + 9505487.

It is an arithmetic number, because the mean of its divisors is an integer number (1110636039240).

Almost surely, 2^{12772205276217} is an apocalyptic number.

It is an amenable number.

12772205276217 is a deficient number, since it is larger than the sum of its proper divisors (4997971351623).

12772205276217 is a wasteful number, since it uses less digits than its factorization.

12772205276217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582272.

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 12772205276217 in words is "twelve trillion, seven hundred seventy-two billion, two hundred five million, two hundred seventy-six thousand, two hundred seventeen".