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212012110222221 = 319376721164311059
BaseRepresentation
bin110000001101001011101010…
…100001001001001110001101
31000210200011022111020012011210
4300031023222201021032031
5210242101300204102341
62030525004023405033
762441240506452411
oct6015135241111615
91023604274205153
10212012110222221
116160a916092371
121b94144a8b3779
13913b86b8c581a
143a4d625b12d41
151979dc5253c16
hexc0d2ea84938d

212012110222221 has 128 divisors (see below), whose sum is σ = 312147133849600. Its totient is φ = 127520452604160.

The previous prime is 212012110222193. The next prime is 212012110222223. The reversal of 212012110222221 is 122222011210212.

It is not a de Polignac number, because 212012110222221 - 25 = 212012110222189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012110222223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19170996390 + ... + 19171007448.

It is an arithmetic number, because the mean of its divisors is an integer number (2438649483200).

Almost surely, 2212012110222221 is an apocalyptic number.

It is an amenable number.

212012110222221 is a deficient number, since it is larger than the sum of its proper divisors (100135023627379).

212012110222221 is a wasteful number, since it uses less digits than its factorization.

212012110222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212012110222221 its reverse (122222011210212), we get a palindrome (334234121432433).

The spelling of 212012110222221 in words is "two hundred twelve trillion, twelve billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 19 37 57 67 111 201 211 633 643 703 1273 1929 2109 2479 3819 4009 7437 7807 11059 12027 12217 14137 23421 23791 33177 36651 42411 43081 47101 71373 129243 135673 141303 148333 210121 268603 407019 409183 444999 452029 523069 630363 740953 805809 818539 1227549 1356087 1569207 1593997 2222859 2333449 2455617 2577787 4781991 5019901 7000347 7110937 7733361 7774477 9090091 9938311 14078107 15059703 21332811 23323431 27270273 27415261 29814933 30285943 42234321 44335531 82245783 86337613 90857829 95378119 133006593 135107803 156341083 172711729 259012839 263104669 286134357 336333367 405323409 469023249 476432779 518135187 520889959 789314007 1009000101 1429298337 1500407707 1562669877 1640414647 2970480577 4501223121 4921243941 4998988711 5784620071 6390333973 8911441731 9052222801 14996966133 17353860213 17628012823 19171001919 27156668403 28507746433 52884038469 55515085159 85523239299 100527316369 109907781349 166545255477 301581949107 329723344047 334932243637 1004796730911 1054786618021 1910019011011 3164359854063 3719510705653 5730057033033 11158532116959 70670703407407 212012110222221