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12122102122020 = 22335112040757933
BaseRepresentation
bin1011000001100110010110…
…0101110100011000100100
31120220212021010202120121000
42300121211211310120210
53042102031120401040
641440452234153300
72360535663640362
oct260314545643044
946825233676530
1012122102122020
113953a55697350
121439417582830
1369c156258927
142dc9da1a4632
151604cc70c130
hexb0665974624

12122102122020 has 96 divisors (see below), whose sum is σ = 41141679949440. Its totient is φ = 2938691422080.

The previous prime is 12122102122007. The next prime is 12122102122063. The reversal of 12122102122020 is 2022120122121.

It is a happy number.

12122102122020 is a `hidden beast` number, since 1 + 212 + 210 + 2 + 1 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122102121984 and 12122102122002.

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 31 ways as a sum of consecutive naturals, for example, 1020373027 + ... + 1020384906.

It is an arithmetic number, because the mean of its divisors is an integer number (428559166140).

Almost surely, 212122102122020 is an apocalyptic number.

12122102122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102122020 is an abundant number, since it is smaller than the sum of its proper divisors (29019577827420).

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

12122102122020 is a wasteful number, since it uses less digits than its factorization.

12122102122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040757962 (or 2040757954 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122102122020 its reverse (2022120122121), we get a palindrome (14144222244141).

The spelling of 12122102122020 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 2040757933 4081515866 6122273799 8163031732 10203789665 12244547598 18366821397 20407579330 22448337263 24489095196 30611368995 36733642794 40815158660 44896674526 55100464191 61222737990 67345011789 73467285588 89793349052 91834106985 110200928382 112241686315 122445475980 134690023578 183668213970 202035035367 220401856764 224483372630 269380047156 275502320955 336725058945 367336427940 404070070734 448966745260 551004641910 606105106101 673450117890 808140141468 1010175176835 1102009283820 1212210212202 1346900235780 2020350353670 2424420424404 3030525530505 4040700707340 6061051061010 12122102122020