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12202001017 is a prime number
BaseRepresentation
bin10110101110100101…
…11100001001111001
31011111101012212122121
423113102330021321
5144442203013032
65334443121241
7611243203663
oct132722741171
934441185577
1012202001017
1151a1790a68
122446513221
1311c5c6c85b
1483a7a1533
154b6372a97
hex2d74bc279

12202001017 has 2 divisors, whose sum is σ = 12202001018. Its totient is φ = 12202001016.

The previous prime is 12202000961. The next prime is 12202001029. The reversal of 12202001017 is 71010020221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12164104681 + 37896336 = 110291^2 + 6156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12202001017 is a prime.

It is a super-3 number, since 3×122020010173 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12202001117) 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, 6101000508 + 6101000509.

It is an arithmetic number, because the mean of its divisors is an integer number (6101000509).

Almost surely, 212202001017 is an apocalyptic number.

It is an amenable number.

12202001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202001017 is an equidigital number, since it uses as much as digits as its factorization.

12202001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 12202001017 its reverse (71010020221), we get a palindrome (83212021238).

The spelling of 12202001017 in words is "twelve billion, two hundred two million, one thousand, seventeen".