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12002020211100 = 22352232959980111
BaseRepresentation
bin1010111010100111000000…
…1001101011100110011100
31120111101022102110110102210
42232221300021223212130
53033120114133223400
641305352454120420
72346055151352543
oct256516011534634
946441272413383
1012002020211100
113908034576357
12141a0a4350110
13690a2a0c247a
142d6c8801915a
1515c300476950
hexaea7026b99c

12002020211100 has 144 divisors (see below), whose sum is σ = 37485170795520. Its totient is φ = 2955819820800.

The previous prime is 12002020211057. The next prime is 12002020211101. The reversal of 12002020211100 is 111202020021.

12002020211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002020211101) 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, 29789956 + ... + 30190155.

It is an arithmetic number, because the mean of its divisors is an integer number (260313686080).

Almost surely, 212002020211100 is an apocalyptic number.

12002020211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002020211100 is an abundant number, since it is smaller than the sum of its proper divisors (25483150584420).

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

12002020211100 is a wasteful number, since it uses less digits than its factorization.

12002020211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59980180 (or 59980173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002020211100 its reverse (111202020021), we get a palindrome (12113222231121).

The spelling of 12002020211100 in words is "twelve trillion, two billion, twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 29 30 46 50 58 60 69 75 87 92 100 115 116 138 145 150 174 230 276 290 300 345 348 435 460 575 580 667 690 725 870 1150 1334 1380 1450 1725 1740 2001 2175 2300 2668 2900 3335 3450 4002 4350 6670 6900 8004 8700 10005 13340 16675 20010 33350 40020 50025 66700 100050 200100 59980111 119960222 179940333 239920444 299900555 359880666 599801110 719761332 899701665 1199602220 1379542553 1499502775 1739423219 1799403330 2759085106 2999005550 3478846438 3598806660 4138627659 4498508325 5218269657 5518170212 5998011100 6897712765 6957692876 8277255318 8697116095 8997016650 10436539314 13795425530 16554510636 17394232190 17994033300 20693138295 20873078628 26091348285 27590851060 34488563825 34788464380 40006734037 41386276590 43485580475 52182696570 68977127650 80013468074 82772553180 86971160950 103465691475 104365393140 120020202111 130456741425 137954255300 160026936148 173942321900 200033670185 206931382950 240040404222 260913482850 400067340370 413862765900 480080808444 521826965700 600101010555 800134680740 1000168350925 1200202021110 2000336701850 2400404042220 3000505052775 4000673403700 6001010105550 12002020211100