12005177627 has 2 divisors, whose sum is σ = 12005177628. Its totient is φ = 12005177626.

The previous prime is 12005177621. The next prime is 12005177629. The reversal of 12005177627 is 72677150021.

12005177627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12005177627 - 2⁶ = 12005177563 is a prime.

It is a super-2 number, since 2×12005177627² (a number of 21 digits) contains 22 as substring.

Together with 12005177629, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12005177621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002588813 + 6002588814.

It is an arithmetic number, because the mean of its divisors is an integer number (6002588814).

Almost surely, 2^12005177627 is an apocalyptic number.

12005177627 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005177627 is an equidigital number, since it uses as much as digits as its factorization.

12005177627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 12005177627 in words is "twelve billion, five million, one hundred seventy-seven thousand, six hundred twenty-seven".