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12201332177 is a prime number
BaseRepresentation
bin10110101110100000…
…11000110111010001
31011111022221220011202
423113100120313101
5144442020112202
65334420520545
7611234420006
oct132720306721
934438856152
1012201332177
1151a1374501
122446250155
1311c5a972a8
1483a6698ad
154b628e802
hex2d7418dd1

12201332177 has 2 divisors, whose sum is σ = 12201332178. Its totient is φ = 12201332176.

The previous prime is 12201332167. The next prime is 12201332207. The reversal of 12201332177 is 77123310221.

12201332177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6714819136 + 5486513041 = 81944^2 + 74071^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201332177 - 28 = 12201331921 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201332107) 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, 6100666088 + 6100666089.

It is an arithmetic number, because the mean of its divisors is an integer number (6100666089).

Almost surely, 212201332177 is an apocalyptic number.

It is an amenable number.

12201332177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201332177 is an equidigital number, since it uses as much as digits as its factorization.

12201332177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 12201332177 its reverse (77123310221), we get a palindrome (89324642398).

The spelling of 12201332177 in words is "twelve billion, two hundred one million, three hundred thirty-two thousand, one hundred seventy-seven".