12001223012881 has 2 divisors, whose sum is σ = 12001223012882. Its totient is φ = 12001223012880.

The previous prime is 12001223012879. The next prime is 12001223012923. The reversal of 12001223012881 is 18821032210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11741306580481 + 259916432400 = 3426559^2 + 509820^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001223012881 - 2¹ = 12001223012879 is a prime.

It is a super-2 number, since 2×12001223012881² (a number of 27 digits) contains 22 as substring.

Together with 12001223012879, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12001223012281) 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, 6000611506440 + 6000611506441.

It is an arithmetic number, because the mean of its divisors is an integer number (6000611506441).

Almost surely, 2^{12001223012881} is an apocalyptic number.

It is an amenable number.

12001223012881 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001223012881 is an equidigital number, since it uses as much as digits as its factorization.

12001223012881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 12001223012881 in words is "twelve trillion, one billion, two hundred twenty-three million, twelve thousand, eight hundred eighty-one".