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212001112201212 = 2232194315314708021
BaseRepresentation
bin110000001101000001011010…
…111111000001011111111100
31000210122002221000111211121100
4300031001122333001133330
5210241411234210414322
62030515544425533100
762440401123021255
oct6015013277013774
91023562830454540
10212001112201212
1161606191a86404
121b93b29b644190
13913a808211b99
143a4cca11d9b2c
15197997e955dac
hexc0d05afc17fc

212001112201212 has 144 divisors (see below), whose sum is σ = 577592191496320. Its totient is φ = 65348070883200.

The previous prime is 212001112201199. The next prime is 212001112201213. The reversal of 212001112201212 is 212102211100212.

212001112201212 is a `hidden beast` number, since 2 + 120 + 0 + 111 + 220 + 1 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001112201213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42675762 + ... + 47383782.

Almost surely, 2212001112201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001112201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288796095748160).

212001112201212 is an abundant number, since it is smaller than the sum of its proper divisors (365591079295108).

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

212001112201212 is a wasteful number, since it uses less digits than its factorization.

212001112201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709624 (or 4709619 counting only the distinct ones).

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

Adding to 212001112201212 its reverse (212102211100212), we get a palindrome (424103323301424).

The spelling of 212001112201212 in words is "two hundred twelve trillion, one billion, one hundred twelve million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1531 1548 1634 2451 3062 3268 4593 4902 6124 7353 9186 9804 13779 14706 18372 27558 29089 29412 55116 58178 65833 87267 116356 131666 174534 197499 261801 263332 349068 394998 523602 592497 789996 1047204 1184994 1250827 2369988 2501654 3752481 4708021 5003308 7504962 9416042 11257443 14124063 15009924 18832084 22514886 28248126 42372189 45029772 56496252 84744378 89452399 169488756 178904798 202444903 268357197 357809596 404889806 536714394 607334709 805071591 809779612 1073428788 1214669418 1610143182 1822004127 2429338836 3220286364 3644008254 3846453157 7207980151 7288016508 7692906314 11539359471 14415960302 15385812628 21623940453 23078718942 28831920604 34618078413 43247880906 46157437884 64871821359 69236156826 86495761812 129743642718 136951622869 138472313652 259487285436 273903245738 309943146493 410854868607 547806491476 619886292986 821709737214 929829439479 1232564605821 1239772585972 1643419474428 1859658878958 2465129211642 2789488318437 3719317757916 4930258423284 5578976636874 5888919783367 11157953273748 11777839566734 17666759350101 23555679133468 35333518700202 53000278050303 70667037400404 106000556100606 212001112201212