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201212012112111 = 337111310781690553
BaseRepresentation
bin101101110000000001010010…
…100000011010100011101111
3222101102200101002020200121000
4231300001102200122203233
5202333124200100041421
61551535304451211343
760245042143301550
oct5560012240324357
9871380332220530
10201212012112111
1159126598284020
121a69829b8a6b53
13883729938c420
1437989db600327
15183debd5de226
hexb7005281a8ef

201212012112111 has 128 divisors (see below), whose sum is σ = 400272941537280. Its totient is φ = 96476191257600.

The previous prime is 201212012112091. The next prime is 201212012112151. The reversal of 201212012112111 is 111211210212102.

It is a happy number.

201212012112111 is a `hidden beast` number, since 20 + 1 + 21 + 201 + 211 + 211 + 1 = 666.

It is not a de Polignac number, because 201212012112111 - 214 = 201212012095727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212012112151) 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, 291032811 + ... + 291723363.

It is an arithmetic number, because the mean of its divisors is an integer number (3127132355760).

Almost surely, 2201212012112111 is an apocalyptic number.

201212012112111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201212012112111 is a deficient number, since it is larger than the sum of its proper divisors (199060929425169).

201212012112111 is a wasteful number, since it uses less digits than its factorization.

201212012112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701374 (or 701368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201212012112111 its reverse (111211210212102), we get a palindrome (312423222324213).

The spelling of 201212012112111 in words is "two hundred one trillion, two hundred twelve billion, twelve million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2457 3003 3861 9009 10781 27027 32343 75467 97029 118591 140153 226401 291087 355773 420459 679203 690553 830137 981071 1067319 1261377 1541683 2037609 2071659 2490411 2943213 3201957 3784131 4625049 4833871 6214977 7471233 7596083 8829639 8977189 10791781 13875147 14501613 18644931 22413699 22788249 26488917 26931567 32375343 41625441 43504839 53172581 62840323 68364747 80794701 97126029 98749079 130514517 159517743 188520969 205094241 242384103 291378087 296247237 478553229 565562907 691243553 888741711 1435659687 1696688721 2073730659 2666225133 6221191977 7444851893 18663575931 22334555679 52113963251 67003667037 81893370823 96783074609 156341889753 201011001111 245680112469 290349223827 469025669259 573253595761 677481522263 737040337407 871047671481 1064613820699 1407077007777 1719760787283 2032444566789 2211121012221 2613143014443 3193841462097 5159282361849 6097333700367 7452296744893 9581524386291 15477847085547 18292001101101 22356890234679 28744573158873 67070670704037 201212012112111