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12011021021020 = 2257241517157809
BaseRepresentation
bin1010111011001000100010…
…1001000010111101011100
31120112020112201001222110011
42232302020221002331130
53033242032340133040
641313441544453004
72346524204106100
oct256621051027534
946466481058404
1012011021021020
11391093327003a
12141b99677a164
13691832a972b8
142d749d5a1900
1515c67a7633ea
hexaec88a42f5c

12011021021020 has 144 divisors (see below), whose sum is σ = 30063180339360. Its totient is φ = 4016777318400.

The previous prime is 12011021020967. The next prime is 12011021021057. The reversal of 12011021021020 is 2012012011021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207741876 + ... + 207799684.

It is an arithmetic number, because the mean of its divisors is an integer number (208772085690).

Almost surely, 212011021021020 is an apocalyptic number.

12011021021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011021021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031590169680).

12011021021020 is an abundant number, since it is smaller than the sum of its proper divisors (18052159318340).

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

12011021021020 is a wasteful number, since it uses less digits than its factorization.

12011021021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63044 (or 63035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011021021020 its reverse (2012012011021), we get a palindrome (14023033032041).

Subtracting from 12011021021020 its reverse (2012012011021), we obtain a palindrome (9999009009999).

The spelling of 12011021021020 in words is "twelve trillion, eleven billion, twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5171 5740 8036 10045 10342 20090 20684 25855 36197 40180 51710 57809 72394 103420 115618 144788 180985 212011 231236 253379 289045 361970 404663 424022 506758 578090 723940 809326 848044 1013516 1060055 1156180 1266895 1484077 1618652 2023315 2120110 2370169 2533790 2832641 2968154 4046630 4240220 4740338 5067580 5665282 5936308 7420385 8093260 9480676 10388539 11330564 11850845 14163205 14840770 16591183 20777078 23701690 28326410 29681540 33182366 41554156 47403380 51942695 56652820 66364732 82955915 103885390 116138281 165911830 207770780 232276562 298930339 331823660 464553124 580691405 597860678 1161382810 1195721356 1494651695 2092512373 2322765620 2989303390 4185024746 5978606780 8370049492 10462561865 12256143899 14647586611 20925123730 24512287798 29295173222 41850247460 49024575596 58590346444 61280719495 73237933055 85793007293 122561438990 146475866110 171586014586 245122877980 292951732220 343172029172 428965036465 600551051051 857930072930 1201102102102 1715860145860 2402204204204 3002755255255 6005510510510 12011021021020