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12122020220100 = 22352710356042627
BaseRepresentation
bin1011000001100110000010…
…1101011000110011000100
31120220212001102122112021120
42300121200231120303010
53042101344134020400
641440440150513540
72360533650533310
oct260314055306304
946825042575246
1012122020220100
113953a1343720a
1214393b40658b0
1369c1422b095b
142dc9cd364b40
151604c542eca0
hexb0660b58cc4

12122020220100 has 144 divisors (see below), whose sum is σ = 40472640918528. Its totient is φ = 2743846968960.

The previous prime is 12122020220083. The next prime is 12122020220113. The reversal of 12122020220100 is 102202022121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122020220100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27805014 + ... + 28237613.

Almost surely, 212122020220100 is an apocalyptic number.

12122020220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122020220100 is an abundant number, since it is smaller than the sum of its proper divisors (28350620698428).

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

12122020220100 is a wasteful number, since it uses less digits than its factorization.

12122020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56042754 (or 56042747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122020220100 its reverse (102202022121), we get a palindrome (12224222242221).

The spelling of 12122020220100 in words is "twelve trillion, one hundred twenty-two billion, twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 103 105 140 150 175 206 210 300 309 350 412 420 515 525 618 700 721 1030 1050 1236 1442 1545 2060 2100 2163 2575 2884 3090 3605 4326 5150 6180 7210 7725 8652 10300 10815 14420 15450 18025 21630 30900 36050 43260 54075 72100 108150 216300 56042627 112085254 168127881 224170508 280213135 336255762 392298389 560426270 672511524 784596778 840639405 1120852540 1176895167 1401065675 1569193556 1681278810 1961491945 2353790334 2802131350 3362557620 3922983890 4203197025 4707580668 5604262700 5772390581 5884475835 7845967780 8406394050 9807459725 11544781162 11768951670 16812788100 17317171743 19614919450 23089562324 23537903340 28861952905 29422379175 34634343486 39229838900 40406734067 57723905810 58844758350 69268686972 80813468134 86585858715 115447811620 117689516700 121220202201 144309764525 161626936268 173171717430 202033670335 242440404402 288619529050 346343434860 404067340670 432929293575 484880808804 577239058100 606101011005 808134681340 865858587150 1010168351675 1212202022010 1731717174300 2020336703350 2424404044020 3030505055025 4040673406700 6061010110050 12122020220100