12007206557217 has 16 divisors (see below), whose sum is σ = 18269223191680. Its totient is φ = 7788458306736.

The previous prime is 12007206557153. The next prime is 12007206557219. The reversal of 12007206557217 is 71275560270021.

12007206557217 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 2 + 0 + 65 + 572 + 17 = 666.

It is not a de Polignac number, because 12007206557217 - 2⁶ = 12007206557153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12007206557219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6009611893 + ... + 6009613890.

It is an arithmetic number, because the mean of its divisors is an integer number (1141826449480).

Almost surely, 2^{12007206557217} is an apocalyptic number.

It is an amenable number.

12007206557217 is a deficient number, since it is larger than the sum of its proper divisors (6262016634463).

12007206557217 is a wasteful number, since it uses less digits than its factorization.

12007206557217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019225829 (or 12019225823 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 12007206557217 in words is "twelve trillion, seven billion, two hundred six million, five hundred fifty-seven thousand, two hundred seventeen".