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12011021122012 = 22112172303963361
BaseRepresentation
bin1010111011001000100010…
…1001011011100111011100
31120112020112201021002222121
42232302020221123213130
53033242032401401022
641313441550552324
72346524205006403
oct256621051334734
946466481232877
1012011021122012
113910933329a00
12141b9968086a4
13691832b01263
142d749d5ca63a
1515c67a7832c7
hexaec88a5b9dc

12011021122012 has 72 divisors (see below), whose sum is σ = 24464341923840. Its totient is φ = 5138100633600.

The previous prime is 12011021121943. The next prime is 12011021122039. The reversal of 12011021122012 is 21022112011021.

It is a super-3 number, since 3×120110211220123 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189533212 + ... + 189596572.

It is an arithmetic number, because the mean of its divisors is an integer number (339782526720).

Almost surely, 212011021122012 is an apocalyptic number.

It is an amenable number.

12011021122012 is an abundant number, since it is smaller than the sum of its proper divisors (12453320801828).

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

12011021122012 is a wasteful number, since it uses less digits than its factorization.

12011021122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86443 (or 86430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011021122012 its reverse (21022112011021), we get a palindrome (33033133133033).

The spelling of 12011021122012 in words is "twelve trillion, eleven billion, twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 23039 46078 63361 92156 126722 253429 253444 391663 506858 696971 783326 1013716 1077137 1393942 1566652 2154274 2787719 2787884 4308293 4308548 5575438 7666681 8616586 11150876 11848507 15333362 17233172 23697014 30666724 47391223 47394028 94782446 130333577 189564892 260667154 521334308 1459774079 2919548158 5839096316 16057514869 24816159343 32115029738 49632318686 64230059476 99264637372 176632663559 272977752773 353265327118 545955505546 706530654236 1091911011092 3002755280503 6005510561006 12011021122012