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12201201020017 is a prime number
BaseRepresentation
bin1011000110001101000001…
…0000001010110001110001
31121012102102200021221000201
42301203100100022301301
53044401024430120032
641541053202115201
72366336064323422
oct261432020126161
947172380257021
1012201201020017
113984555989129
12145081164bb01
136a675079c599
143027813b7649
151625aba328e7
hexb18d040ac71

12201201020017 has 2 divisors, whose sum is σ = 12201201020018. Its totient is φ = 12201201020016.

The previous prime is 12201201020011. The next prime is 12201201020039. The reversal of 12201201020017 is 71002010210221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11244748315761 + 956452704256 = 3353319^2 + 977984^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201201020017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201201019976 and 12201201020003.

It is not a weakly prime, because it can be changed into another prime (12201201020011) 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, 6100600510008 + 6100600510009.

It is an arithmetic number, because the mean of its divisors is an integer number (6100600510009).

Almost surely, 212201201020017 is an apocalyptic number.

It is an amenable number.

12201201020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201201020017 is an equidigital number, since it uses as much as digits as its factorization.

12201201020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 12201201020017 its reverse (71002010210221), we get a palindrome (83203211230238).

The spelling of 12201201020017 in words is "twelve trillion, two hundred one billion, two hundred one million, twenty thousand, seventeen".