12005912485801 has 8 divisors (see below), whose sum is σ = 13375287119880. Its totient is φ = 10700229695232.

The previous prime is 12005912485739. The next prime is 12005912485849. The reversal of 12005912485801 is 10858421950021.

It can be written as a sum of positive squares in 4 ways, for example, as 2250135002025 + 9755777483776 = 1500045^2 + 3123424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12005912485801 - 2⁷ = 12005912485673 is a prime.

It is a super-2 number, since 2×12005912485801² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12005912485201) 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 7 ways as a sum of consecutive naturals, for example, 15922960480 + ... + 15922961233.

It is an arithmetic number, because the mean of its divisors is an integer number (1671910889985).

Almost surely, 2^{12005912485801} is an apocalyptic number.

It is an amenable number.

12005912485801 is a deficient number, since it is larger than the sum of its proper divisors (1369374634079).

12005912485801 is a wasteful number, since it uses less digits than its factorization.

12005912485801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31845921755.

The product of its (nonzero) digits is 230400, while the sum is 46.

The spelling of 12005912485801 in words is "twelve trillion, five billion, nine hundred twelve million, four hundred eighty-five thousand, eight hundred one".