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12122011100220 = 2235797729541383
BaseRepresentation
bin1011000001100110000000…
…1010100110010000111100
31120220212000210111012011020
42300121200022212100330
53042101334320201340
641440435223224140
72360533510160610
oct260314012462074
946825023435136
1012122011100220
113953a0927831a
1214393b0ba8050
1369c140439888
142dc9cc06d340
151604c472c9d0
hexb06602a643c

12122011100220 has 96 divisors (see below), whose sum is σ = 38830140453888. Its totient is φ = 2767909327872.

The previous prime is 12122011100201. The next prime is 12122011100291. The reversal of 12122011100220 is 2200111022121.

It is a super-2 number, since 2×121220111002202 (a number of 27 digits) contains 22 as substring.

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 12122011100220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14360352 + ... + 15181031.

It is an arithmetic number, because the mean of its divisors is an integer number (404480629728).

Almost surely, 212122011100220 is an apocalyptic number.

12122011100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122011100220 is an abundant number, since it is smaller than the sum of its proper divisors (26708129353668).

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

12122011100220 is a wasteful number, since it uses less digits than its factorization.

12122011100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29542379 (or 29542377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122011100220 its reverse (2200111022121), we get a palindrome (14322122122341).

The spelling of 12122011100220 in words is "twelve trillion, one hundred twenty-two billion, eleven million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 977 1954 2931 3908 4885 5862 6839 9770 11724 13678 14655 19540 20517 27356 29310 34195 41034 58620 68390 82068 102585 136780 205170 410340 29541383 59082766 88624149 118165532 147706915 177248298 206789681 295413830 354496596 413579362 443120745 590827660 620369043 827158724 886241490 1033948405 1240738086 1772482980 2067896810 2481476172 3101845215 4135793620 6203690430 12407380860 28861931191 57723862382 86585793573 115447724764 144309655955 173171587146 202033518337 288619311910 346343174292 404067036674 432928967865 577238623820 606100555011 808134073348 865857935730 1010167591685 1212201110022 1731715871460 2020335183370 2424402220044 3030502775055 4040670366740 6061005550110 12122011100220