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12105203500200 = 2335237095439563
BaseRepresentation
bin1011000000100111011001…
…0110101100010010101000
31120212020122110000122101210
42300021312112230102220
53041312424044001300
641425015334113120
72356400141011356
oct260116626542250
946766573018353
1012105203500200
113947873880698
1214360a01ab7a0
1369a69226c415
142dbc75b547d6
1515ed3ddad050
hexb02765ac4a8

12105203500200 has 96 divisors (see below), whose sum is σ = 37536255338400. Its totient is φ = 3227183343360.

The previous prime is 12105203500199. The next prime is 12105203500211. The reversal of 12105203500200 is 200530250121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494382 + ... + 4945181.

It is an arithmetic number, because the mean of its divisors is an integer number (391002659775).

Almost surely, 212105203500200 is an apocalyptic number.

12105203500200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105203500200 is an abundant number, since it is smaller than the sum of its proper divisors (25431051838200).

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

12105203500200 is a wasteful number, since it uses less digits than its factorization.

12105203500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443291 (or 5443282 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 12105203500200 its reverse (200530250121), we get a palindrome (12305733750321).

The spelling of 12105203500200 in words is "twelve trillion, one hundred five billion, two hundred three million, five hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3709 7418 11127 14836 18545 22254 29672 37090 44508 55635 74180 89016 92725 111270 148360 185450 222540 278175 370900 445080 556350 741800 1112700 2225400 5439563 10879126 16318689 21758252 27197815 32637378 43516504 54395630 65274756 81593445 108791260 130549512 135989075 163186890 217582520 271978150 326373780 407967225 543956300 652747560 815934450 1087912600 1631868900 3263737800 20175339167 40350678334 60526017501 80701356668 100876695835 121052035002 161402713336 201753391670 242104070004 302630087505 403506783340 484208140008 504383479175 605260175010 807013566680 1008766958350 1210520350020 1513150437525 2017533916700 2421040700040 3026300875050 4035067833400 6052601750100 12105203500200