12005724249781 has 2 divisors, whose sum is σ = 12005724249782. Its totient is φ = 12005724249780.

The previous prime is 12005724249767. The next prime is 12005724249793. The reversal of 12005724249781 is 18794242750021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7686950326225 + 4318773923556 = 2772535^2 + 2078166^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12005724249781 is a prime.

It is a super-2 number, since 2×12005724249781² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12005724249731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002862124890 + 6002862124891.

It is an arithmetic number, because the mean of its divisors is an integer number (6002862124891).

Almost surely, 2^{12005724249781} is an apocalyptic number.

It is an amenable number.

12005724249781 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005724249781 is an equidigital number, since it uses as much as digits as its factorization.

12005724249781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 12005724249781 in words is "twelve trillion, five billion, seven hundred twenty-four million, two hundred forty-nine thousand, seven hundred eighty-one".