12780006309 has 64 divisors (see below), whose sum is σ = 24116889600. Its totient is φ = 6511497984.

The previous prime is 12780006289. The next prime is 12780006331. The reversal of 12780006309 is 90360008721.

12780006309 is a `hidden beast` number, since 12 + 7 + 8 + 0 + 0 + 0 + 630 + 9 = 666.

It is not a de Polignac number, because 12780006309 - 2⁷ = 12780006181 is a prime.

It is a super-2 number, since 2×12780006309² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12780006359) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43627 + ... + 165720.

It is an arithmetic number, because the mean of its divisors is an integer number (376826400).

Almost surely, 2^12780006309 is an apocalyptic number.

12780006309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12780006309 is a deficient number, since it is larger than the sum of its proper divisors (11336883291).

12780006309 is a wasteful number, since it uses less digits than its factorization.

12780006309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209399 (or 209393 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12780006309 in words is "twelve billion, seven hundred eighty million, six thousand, three hundred nine".