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12021005617 is a prime number
BaseRepresentation
bin10110011001000000…
…11111110100110001
31011000202122100122021
423030200133310301
5144104334134432
65304455511441
7603614601415
oct131440376461
934022570567
1012021005617
1151095a9495
1223b5988581
13119760a89a
14820728d45
154a551e697
hex2cc81fd31

12021005617 has 2 divisors, whose sum is σ = 12021005618. Its totient is φ = 12021005616.

The previous prime is 12021005603. The next prime is 12021005627. The reversal of 12021005617 is 71650012021.

12021005617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11825257536 + 195748081 = 108744^2 + 13991^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021005617 - 27 = 12021005489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12021005591 and 12021005600.

It is not a weakly prime, because it can be changed into another prime (12021005627) 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, 6010502808 + 6010502809.

It is an arithmetic number, because the mean of its divisors is an integer number (6010502809).

Almost surely, 212021005617 is an apocalyptic number.

It is an amenable number.

12021005617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12021005617 is an equidigital number, since it uses as much as digits as its factorization.

12021005617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 12021005617 its reverse (71650012021), we get a palindrome (83671017638).

The spelling of 12021005617 in words is "twelve billion, twenty-one million, five thousand, six hundred seventeen".