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12122311001 is a prime number
BaseRepresentation
bin10110100101000101…
…11100100101011001
31011021211021012111112
423102202330211121
5144311302423001
65322515110105
7606254641403
oct132242744531
934254235445
1012122311001
115160801749
1224238a2335
1311b25ba5b8
1482dd79b73
154ae380cbb
hex2d28bc959

12122311001 has 2 divisors, whose sum is σ = 12122311002. Its totient is φ = 12122311000.

The previous prime is 12122310979. The next prime is 12122311007. The reversal of 12122311001 is 10011322121.

12122311001 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., 8930061001 + 3192250000 = 94499^2 + 56500^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122311001 - 214 = 12122294617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122311007) 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, 6061155500 + 6061155501.

It is an arithmetic number, because the mean of its divisors is an integer number (6061155501).

Almost surely, 212122311001 is an apocalyptic number.

It is an amenable number.

12122311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122311001 is an equidigital number, since it uses as much as digits as its factorization.

12122311001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12122311001 its reverse (10011322121), we get a palindrome (22133633122).

The spelling of 12122311001 in words is "twelve billion, one hundred twenty-two million, three hundred eleven thousand, one".