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12122222022201 = 3193124113141203
BaseRepresentation
bin1011000001100110110010…
…1111001100111000111001
31120220212120111101010201110
42300121230233030320321
53042102302314202301
641440512200110533
72360541651034524
oct260315457147071
946825514333643
1012122222022201
113954007340105
12143944b765449
1369c175049295
142dca0c095bbb
151604d7ee30d6
hexb066cbcce39

12122222022201 has 96 divisors (see below), whose sum is σ = 18146874493440. Its totient is φ = 7173103392000.

The previous prime is 12122222022143. The next prime is 12122222022227. The reversal of 12122222022201 is 10222022222121.

It is not a de Polignac number, because 12122222022201 - 27 = 12122222022073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122222022601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294186666 + ... + 294227868.

It is an arithmetic number, because the mean of its divisors is an integer number (189029942640).

Almost surely, 212122222022201 is an apocalyptic number.

It is an amenable number.

12122222022201 is a deficient number, since it is larger than the sum of its proper divisors (6024652471239).

12122222022201 is a wasteful number, since it uses less digits than its factorization.

12122222022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41459 (or 41428 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12122222022201 its reverse (10222022222121), we get a palindrome (22344244244322).

The spelling of 12122222022201 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 3 19 31 41 57 93 123 131 393 589 779 961 1271 1767 2337 2489 2883 3813 4061 5371 7467 12183 16113 18259 24149 39401 41203 54777 72447 77159 102049 118203 123609 125891 166501 231477 306147 377673 499503 748619 782857 1277293 1689323 2245857 2348571 2391929 3163519 3831879 5067969 5161531 5397593 7175787 9490557 15484593 16192779 24268567 32097137 39596083 52369013 72805701 96291411 98069089 102554267 118788249 157107039 167325383 221301313 294207267 307662801 501976149 663903939 752325577 995011247 1623439403 2256976731 2985033741 3179182277 4204724947 4870318209 5187086873 6860340703 9537546831 12614174841 15561260619 20581022109 30845348657 92536045971 98554650587 130346473357 212670561793 295663951761 391039420071 638011685379 4040740674067 12122222022201