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12112002222012 = 22327114619478111
BaseRepresentation
bin1011000001000000101110…
…0101110000011110111100
31120212220012021000111102100
42300100023211300132330
53041420340032101022
641432102122225100
72360030464130640
oct260201345603674
946786167014370
1012112002222012
11394a742549a50
121437479055190
1369b206961334
142dc31ca78c20
151600dabb91ac
hexb040b9707bc

12112002222012 has 144 divisors (see below), whose sum is σ = 38253963331584. Its totient is φ = 3139150032000.

The previous prime is 12112002222011. The next prime is 12112002222037. The reversal of 12112002222012 is 21022220021121.

It is a happy number.

12112002222012 is a `hidden beast` number, since 1 + 211 + 200 + 22 + 220 + 12 = 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 (12112002222011) 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, 3461164 + ... + 6016947.

It is an arithmetic number, because the mean of its divisors is an integer number (265652523136).

Almost surely, 212112002222012 is an apocalyptic number.

12112002222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12112002222012 is an abundant number, since it is smaller than the sum of its proper divisors (26141961109572).

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

12112002222012 is a wasteful number, since it uses less digits than its factorization.

12112002222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478600 (or 9478595 counting only the distinct ones).

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

Adding to 12112002222012 its reverse (21022220021121), we get a palindrome (33134222243133).

The spelling of 12112002222012 in words is "twelve trillion, one hundred twelve billion, two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 461 462 693 922 924 1383 1386 1844 2766 2772 3227 4149 5071 5532 6454 8298 9681 10142 12908 15213 16596 19362 20284 29043 30426 35497 38724 45639 58086 60852 70994 91278 106491 116172 141988 182556 212982 319473 425964 638946 1277892 9478111 18956222 28434333 37912444 56868666 66346777 85302999 104259221 113737332 132693554 170605998 199040331 208518442 265387108 312777663 341211996 398080662 417036884 597120993 625555326 729814547 796161324 938332989 1194241986 1251110652 1459629094 1876665978 2189443641 2388483972 2919258188 3753331956 4369409171 4378887282 6568330923 8738818342 8757774564 13108227513 13136661846 17477636684 26216455026 26273323692 30585864197 39324682539 48063500881 52432910052 61171728394 78649365078 91757592591 96127001762 122343456788 144190502643 157298730156 183515185182 192254003524 275272777773 288381005286 336444506167 367030370364 432571507929 550545555546 576762010572 672889012334 865143015858 1009333518501 1101091111092 1345778024668 1730286031716 2018667037002 3028000555503 4037334074004 6056001111006 12112002222012