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12222120077 is a prime number
BaseRepresentation
bin10110110000111111…
…01100000010001101
31011112210002000210222
423120133230002031
5200012330320302
65340442241125
7611606210066
oct133037540215
934483060728
1012222120077
115202082792
1224511b61a5
1311ca19521b
1483d31b56d
154b7ee8da2
hex2d87ec08d

12222120077 has 2 divisors, whose sum is σ = 12222120078. Its totient is φ = 12222120076.

The previous prime is 12222120059. The next prime is 12222120103. The reversal of 12222120077 is 77002122221.

12222120077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12222120103) can be obtained adding 12222120077 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11967047236 + 255072841 = 109394^2 + 15971^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222120077 - 210 = 12222119053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222120277) 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, 6111060038 + 6111060039.

It is an arithmetic number, because the mean of its divisors is an integer number (6111060039).

Almost surely, 212222120077 is an apocalyptic number.

It is an amenable number.

12222120077 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222120077 is an equidigital number, since it uses as much as digits as its factorization.

12222120077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 26.

Adding to 12222120077 its reverse (77002122221), we get a palindrome (89224242298).

The spelling of 12222120077 in words is "twelve billion, two hundred twenty-two million, one hundred twenty thousand, seventy-seven".