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12011221210212 = 22327375821221303
BaseRepresentation
bin1010111011001001010010…
…0100101101010001100100
31120112021001122202122101200
42232302110210231101210
53033242440112211322
641313513455322500
72346532154512050
oct256622444552144
946467048678350
1012011221210212
113910a26272154
12141ba31820430
136918653b9743
142d74bbdd2c60
1515c68d1088ac
hexaec9492d464

12011221210212 has 144 divisors (see below), whose sum is σ = 35643179749632. Its totient is φ = 3338438042880.

The previous prime is 12011221210181. The next prime is 12011221210229. The reversal of 12011221210212 is 21201212211021.

12011221210212 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 221 + 210 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54164353 + ... + 54385655.

Almost surely, 212011221210212 is an apocalyptic number.

12011221210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011221210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821589874816).

12011221210212 is an abundant number, since it is smaller than the sum of its proper divisors (23631958539420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011221210212 is a wasteful number, since it uses less digits than its factorization.

12011221210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227178 (or 227173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011221210212 its reverse (21201212211021), we get a palindrome (33212433421233).

The spelling of 12011221210212 in words is "twelve trillion, eleven billion, two hundred twenty-one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 5821 9324 11642 17463 23284 34926 40747 52389 69852 81494 104778 122241 162988 209556 215377 221303 244482 366723 430754 442606 488964 646131 663909 733446 861508 885212 1292262 1327818 1466892 1507639 1549121 1938393 1991727 2584524 2655636 3015278 3098242 3876786 3983454 4522917 4647363 6030556 6196484 7753572 7966908 8188211 9045834 9294726 13568751 13942089 16376422 18091668 18589452 24564633 27137502 27884178 32752844 49129266 54275004 55768356 57317477 73693899 98258532 114634954 147387798 171952431 229269908 294775596 343904862 515857293 687809724 1031714586 1288204763 2063429172 2576409526 3864614289 5152819052 7729228578 9017433341 11593842867 15458457156 18034866682 23187685734 27052300023 36069733364 46375371468 47663576231 54104600046 81156900069 95327152462 108209200092 142990728693 162313800138 190654304924 285981457386 324627600276 333645033617 428972186079 571962914772 667290067234 857944372158 1000935100851 1334580134468 1715888744316 2001870201702 3002805302553 4003740403404 6005610605106 12011221210212