12677001161671 has 16 divisors (see below), whose sum is σ = 16072975284480. Its totient is φ = 9710755894080.

The previous prime is 12677001161647. The next prime is 12677001161677. The reversal of 12677001161671 is 17616110077621.

It is a cyclic number.

It is not a de Polignac number, because 12677001161671 - 2⁴¹ = 10477977906119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677001161677) 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 15 ways as a sum of consecutive naturals, for example, 1395219006 + ... + 1395228091.

It is an arithmetic number, because the mean of its divisors is an integer number (1004560955280).

Almost surely, 2^{12677001161671} is an apocalyptic number.

12677001161671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12677001161671 is a deficient number, since it is larger than the sum of its proper divisors (3395974122809).

12677001161671 is a wasteful number, since it uses less digits than its factorization.

12677001161671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790447174.

The product of its (nonzero) digits is 148176, while the sum is 46.

The spelling of 12677001161671 in words is "twelve trillion, six hundred seventy-seven billion, one million, one hundred sixty-one thousand, six hundred seventy-one".