12441004000993 has 2 divisors, whose sum is σ = 12441004000994. Its totient is φ = 12441004000992.

The previous prime is 12441004000969. The next prime is 12441004001033. The reversal of 12441004000993 is 39900040014421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12275654417569 + 165349583424 = 3503663^2 + 406632^2 .

It is a cyclic number.

It is not a de Polignac number, because 12441004000993 - 2¹³ = 12441003992801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12441004003993) 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 as a sum of consecutive naturals, namely, 6220502000496 + 6220502000497.

It is an arithmetic number, because the mean of its divisors is an integer number (6220502000497).

Almost surely, 2^{12441004000993} is an apocalyptic number.

It is an amenable number.

12441004000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12441004000993 is an equidigital number, since it uses as much as digits as its factorization.

12441004000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 12441004000993 in words is "twelve trillion, four hundred forty-one billion, four million, nine hundred ninety-three", and thus it is an aban number.