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12011022101214 = 23210728135396271
BaseRepresentation
bin1010111011001000100010…
…1101001010101011011110
31120112020112210002212012100
42232302020231022223132
53033242033124214324
641313442023545530
72346524216225253
oct256621055125336
946466483085170
1012011022101214
113910933938664
12141b996bbb2a6
13691833084b76
142d749d7a342a
1515c67a8c84c9
hexaec88b4aade

12011022101214 has 96 divisors (see below), whose sum is σ = 26372225617920. Its totient is φ = 3950394940800.

The previous prime is 12011022101179. The next prime is 12011022101227. The reversal of 12011022101214 is 41210122011021.

12011022101214 is a `hidden beast` number, since 120 + 110 + 221 + 0 + 1 + 214 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1915324899 + ... + 1915331169.

It is an arithmetic number, because the mean of its divisors is an integer number (274710683520).

Almost surely, 212011022101214 is an apocalyptic number.

12011022101214 is an abundant number, since it is smaller than the sum of its proper divisors (14361203516706).

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

12011022101214 is a wasteful number, since it uses less digits than its factorization.

12011022101214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10203 counting only the distinct ones).

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

Adding to 12011022101214 its reverse (41210122011021), we get a palindrome (53221144112235).

The spelling of 12011022101214 in words is "twelve trillion, eleven billion, twenty-two million, one hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 107 214 281 321 562 642 843 963 1686 1926 2529 3539 5058 6271 7078 10617 12542 18813 21234 30067 31851 37626 56439 60134 63702 90201 112878 180402 270603 378673 541206 670997 757346 994459 1136019 1341994 1762151 1988918 2012991 2272038 2983377 3408057 3524302 4025982 5286453 5966754 6038973 6816114 8950131 10572906 12077946 15859359 17900262 22193069 31718718 44386138 66579207 106407113 133158414 188550157 199737621 212814226 319221339 377100314 399475242 565650471 638442678 957664017 1131300942 1696951413 1915328034 2374658383 3393902826 4749316766 6236252389 7123975149 12472504778 14247950298 18708757167 21371925447 37417514334 42743850894 56126271501 112252543002 667279005623 1334558011246 2001837016869 4003674033738 6005511050607 12011022101214