Search a number
-
+
12022001122221 = 354327711813517
BaseRepresentation
bin1010111011110001011100…
…0110110011101110101101
31120120021212221001220200000
42232330113012303232231
53033432024241402341
641322455302254513
72350363252323666
oct256742706635655
946507787056600
1012022001122221
113915558247642
121421b3ba27439
136928928455bc
142d7c2197236d
1515cabe6c18b6
hexaef171b3bad

12022001122221 has 96 divisors (see below), whose sum is σ = 18514507659648. Its totient is φ = 7791198347520.

The previous prime is 12022001122199. The next prime is 12022001122253. The reversal of 12022001122221 is 12222110022021.

It is a happy number.

12022001122221 is a `hidden beast` number, since 120 + 2 + 200 + 1 + 122 + 221 = 666.

It is not a de Polignac number, because 12022001122221 - 25 = 12022001122189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12022001122194 and 12022001122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022001172221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3418252755 + ... + 3418256271.

It is an arithmetic number, because the mean of its divisors is an integer number (192859454788).

Almost surely, 212022001122221 is an apocalyptic number.

It is an amenable number.

12022001122221 is a deficient number, since it is larger than the sum of its proper divisors (6492506537427).

12022001122221 is a wasteful number, since it uses less digits than its factorization.

12022001122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022001122221 its reverse (12222110022021), we get a palindrome (24244111144242).

The spelling of 12022001122221 in words is "twelve trillion, twenty-two billion, one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 43 81 129 243 277 387 831 1161 1181 2493 3483 3517 3543 7479 10449 10551 10629 11911 22437 31653 31887 35733 50783 67311 94959 95661 107199 151231 152349 284877 286983 321597 327137 453693 457047 854631 964791 974209 981411 1361079 1371141 2894373 2922627 2944233 4083237 4113423 4153577 8767881 8832699 12249711 12340269 12460731 14066891 26303643 26498097 36749133 37382193 41890987 42200673 78910929 79494291 112146579 125672961 126602019 178603811 236732787 336439737 377018883 379806057 535811433 1009319211 1131056649 1139418171 1150540829 1607434299 3393169947 3418254513 3451622487 4822302897 10179509841 10354867461 14466908691 31064602383 43400726073 49473255647 93193807149 148419766941 279581421447 445259300823 1335777902469 4007333707407 12022001122221