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212000112220120 = 23572473534757259
BaseRepresentation
bin110000001101000000011111…
…011000011001011111011000
31000210122000100022212112102121
4300031000133120121133120
5210241402212212020440
62030515301304511024
762440334261226430
oct6015003730313730
91023560308775377
10212000112220120
1161605819575854
121b93b06077b474
13913a6a8cb04b3
143a4cc084952c0
151979921c7a34a
hexc0d01f6197d8

212000112220120 has 128 divisors (see below), whose sum is σ = 545475104294400. Its totient is φ = 72641504111616.

The previous prime is 212000112220081. The next prime is 212000112220199. The reversal of 212000112220120 is 21022211000212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212000112220094 and 212000112220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3702448051 + ... + 3702505309.

It is an arithmetic number, because the mean of its divisors is an integer number (4261524252300).

Almost surely, 2212000112220120 is an apocalyptic number.

212000112220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000112220120 is an abundant number, since it is smaller than the sum of its proper divisors (333474992074280).

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

212000112220120 is a wasteful number, since it uses less digits than its factorization.

212000112220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65097 (or 65093 counting only the distinct ones).

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

Adding to 212000112220120 its reverse (21022211000212), we get a palindrome (233022323220332).

The spelling of 212000112220120 in words is "two hundred twelve trillion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2473 4946 5347 9892 10694 12365 17311 19784 21388 24730 26735 34622 37429 42776 49460 53470 57259 69244 74858 86555 98920 106940 114518 138488 149716 173110 187145 213880 229036 286295 299432 346220 374290 400813 458072 572590 692440 748580 801626 1145180 1497160 1603252 2004065 2290360 3206504 4008130 8016260 13223131 16032520 26446262 52892524 66115655 92561917 105785048 132231310 141601507 185123834 264462620 283203014 306163873 370247668 462809585 528925240 566406028 612327746 708007535 740495336 925619170 991210549 1132812056 1224655492 1416015070 1530819365 1851238340 1982421098 2143147111 2449310984 2832030140 3061638730 3702476680 3964842196 4286294222 4956052745 5664060280 6123277460 7929684392 8572588444 9912105490 10715735555 12246554920 17145176888 19824210980 21431471110 39648421960 42862942220 85725884440 757143257929 1514286515858 3028573031716 3785716289645 5300002805503 6057146063432 7571432579290 10600005611006 15142865158580 21200011222012 26500014027515 30285730317160 42400022444024 53000028055030 106000056110060 212000112220120