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12122101222000 = 245371178714943
BaseRepresentation
bin1011000001100110010110…
…0010011000101001110000
31120220212021002001211222221
42300121211202120221300
53042102030403101000
641440452203010424
72360535653201410
oct260314542305160
946825232054887
1012122101222000
113953a55132130
121439417209a14
1369c156002083
142dc9da00c640
151604cc5d061a
hexb0665898a70

12122101222000 has 160 divisors (see below), whose sum is σ = 36543885041664. Its totient is φ = 3778317216000.

The previous prime is 12122101221973. The next prime is 12122101222001. The reversal of 12122101222000 is 22210122121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101222001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39203472 + ... + 39511471.

Almost surely, 212122101222000 is an apocalyptic number.

12122101222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101222000 is an abundant number, since it is smaller than the sum of its proper divisors (24421783819664).

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

12122101222000 is a wasteful number, since it uses less digits than its factorization.

12122101222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78714984 (or 78714968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122101222000 its reverse (22210122121), we get a palindrome (12144311344121).

The spelling of 12122101222000 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 78714943 157429886 314859772 393574715 551004601 629719544 787149430 865864373 1102009202 1259439088 1574298860 1731728746 1967873575 2204018404 2755023005 3148597720 3463457492 3935747150 4329321865 4408036808 5510046010 6061050611 6297195440 6926914984 7871494300 8658643730 8816073616 9839367875 11020092020 12122101222 13775115025 13853829968 15742988600 17317287460 19678735750 21646609325 22040184040 24244202444 27550230050 30305253055 31485977200 34634574920 39357471500 43293218650 44080368080 48488404888 55100460100 60610506110 68875575125 69269149840 78714943000 86586437300 96976809776 108233046625 110200920200 121221012220 137751150250 151526265275 157429886000 173172874600 216466093250 220401840400 242442024440 275502300500 303052530550 346345749200 432932186500 484884048880 551004601000 606105061100 757631326375 865864373000 1102009202000 1212210122200 1515262652750 1731728746000 2424420244400 3030525305500 6061050611000 12122101222000