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12001231011073 is a prime number
BaseRepresentation
bin1010111010100100000100…
…0111000111110100000001
31120111022021102102221112011
42232221001013013310001
53033112010114323243
641305142302532521
72346026456310043
oct256510107076401
946438242387464
1012001231011073
11390776a041727
121419b03b97141
136909327512c5
142d6c112a1a93
1515c2a603489d
hexaea411c7d01

12001231011073 has 2 divisors, whose sum is σ = 12001231011074. Its totient is φ = 12001231011072.

The previous prime is 12001231011059. The next prime is 12001231011149. The reversal of 12001231011073 is 37011013210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10333473143184 + 1667757867889 = 3214572^2 + 1291417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001231011073 is a prime.

It is a super-2 number, since 2×120012310110732 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12001231011023) 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 as a sum of consecutive naturals, namely, 6000615505536 + 6000615505537.

It is an arithmetic number, because the mean of its divisors is an integer number (6000615505537).

Almost surely, 212001231011073 is an apocalyptic number.

It is an amenable number.

12001231011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001231011073 is an equidigital number, since it uses as much as digits as its factorization.

12001231011073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 12001231011073 its reverse (37011013210021), we get a palindrome (49012244221094).

The spelling of 12001231011073 in words is "twelve trillion, one billion, two hundred thirty-one million, eleven thousand, seventy-three".