12281333318221 has 16 divisors (see below), whose sum is σ = 13571655330240. Its totient is φ = 11020591572480.

The previous prime is 12281333318209. The next prime is 12281333318273.

12281333318221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12281333318221 - 2³⁵ = 12246973579853 is a prime.

It is a super-2 number, since 2×12281333318221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281333318291) 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, 14780506 + ... + 15589291.

It is an arithmetic number, because the mean of its divisors is an integer number (848228458140).

Almost surely, 2^{12281333318221} is an apocalyptic number.

12281333318221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12281333318221 is a deficient number, since it is larger than the sum of its proper divisors (1290322012019).

12281333318221 is a wasteful number, since it uses less digits than its factorization.

12281333318221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370284.

The product of its digits is 82944, while the sum is 40.

The spelling of 12281333318221 in words is "twelve trillion, two hundred eighty-one billion, three hundred thirty-three million, three hundred eighteen thousand, two hundred twenty-one".