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12122341409 is a prime number
BaseRepresentation
bin10110100101000110…
…00100000000100001
31011021211022202012202
423102203010000201
5144311304411114
65322515502545
7606255126143
oct132243040041
934254282182
1012122341409
115160822582
1224238b7a55
1311b25cb3a9
1482dd86c93
154ae389cde
hex2d28c4021

12122341409 has 2 divisors, whose sum is σ = 12122341410. Its totient is φ = 12122341408.

The previous prime is 12122341303. The next prime is 12122341471. The reversal of 12122341409 is 90414322121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11571735184 + 550606225 = 107572^2 + 23465^2 .

It is an emirp because it is prime and its reverse (90414322121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12122341409 - 212 = 12122337313 is a prime.

It is a super-2 number, since 2×121223414092 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12122341499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061170704 + 6061170705.

It is an arithmetic number, because the mean of its divisors is an integer number (6061170705).

Almost surely, 212122341409 is an apocalyptic number.

It is an amenable number.

12122341409 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122341409 is an equidigital number, since it uses as much as digits as its factorization.

12122341409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 12122341409 in words is "twelve billion, one hundred twenty-two million, three hundred forty-one thousand, four hundred nine".