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12002021010200 = 23521321373258623
BaseRepresentation
bin1010111010100111000000…
…1100101110101100011000
31120111101022110222001121002
42232221300030232230120
53033120114334311300
641305352523204132
72346055161221354
oct256516014565430
946441273861532
1012002021010200
113908034a71771
12141a0a4676648
13690a2a312100
142d6c88186464
1515c3005835d5
hexaea7032eb18

12002021010200 has 144 divisors (see below), whose sum is σ = 30238455150720. Its totient is φ = 4428270712320.

The previous prime is 12002021010163. The next prime is 12002021010209. The reversal of 12002021010200 is 201012020021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002021010209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46278089 + ... + 46536711.

It is an arithmetic number, because the mean of its divisors is an integer number (209989271880).

Almost surely, 212002021010200 is an apocalyptic number.

12002021010200 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 12002021010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119227575360).

12002021010200 is an abundant number, since it is smaller than the sum of its proper divisors (18236434140520).

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

12002021010200 is a wasteful number, since it uses less digits than its factorization.

12002021010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260038 (or 260016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002021010200 its reverse (201012020021), we get a palindrome (12203033030221).

The spelling of 12002021010200 in words is "twelve trillion, two billion, twenty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1373 1690 2600 2746 3380 4225 5492 6760 6865 8450 10984 13730 16900 17849 27460 33800 34325 35698 54920 68650 71396 89245 137300 142792 178490 232037 258623 274600 356980 446225 464074 517246 713960 892450 928148 1034492 1160185 1293115 1784900 1856296 2068984 2320370 2586230 3362099 3569800 4640740 5172460 5800925 6465575 6724198 9281480 10344920 11601850 12931150 13448396 16810495 23203700 25862300 26896792 33620990 43707287 46407400 51724600 67241980 84052475 87414574 134483960 168104950 174829148 218536435 336209900 349658296 355089379 437072870 672419800 710178758 874145740 1092682175 1420357516 1748291480 1775446895 2185364350 2840715032 3550893790 4370728700 4616161927 7101787580 8741457400 8877234475 9232323854 14203575160 17754468950 18464647708 23080809635 35508937900 36929295416 46161619270 60010105051 71017875800 92323238540 115404048175 120020210102 184646477080 230808096350 240040420204 300050525255 461616192700 480080840408 600101050510 923232385400 1200202101020 1500252626275 2400404202040 3000505252550 6001010505100 12002021010200