12456129749 has 16 divisors (see below), whose sum is σ = 14330511360. Its totient is φ = 10605643440.

The previous prime is 12456129727. The next prime is 12456129769. The reversal of 12456129749 is 94792165421.

It is not a de Polignac number, because 12456129749 - 2⁸ = 12456129493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12456129697 and 12456129706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456129709) 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, 987122 + ... + 999660.

It is an arithmetic number, because the mean of its divisors is an integer number (895656960).

Almost surely, 2^12456129749 is an apocalyptic number.

It is an amenable number.

12456129749 is a deficient number, since it is larger than the sum of its proper divisors (1874381611).

12456129749 is a wasteful number, since it uses less digits than its factorization.

12456129749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480.

The product of its digits is 1088640, while the sum is 50.

The spelling of 12456129749 in words is "twelve billion, four hundred fifty-six million, one hundred twenty-nine thousand, seven hundred forty-nine".