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12123221220 = 223251117360167
BaseRepresentation
bin10110100101001100…
…11010110011100100
31011021212222110002100
423102212122303210
5144312021034340
65322550412100
7606265452165
oct132246326344
934255873070
1012123221220
1151612735a0
122424061030
1311b28489a6
1483013576c
154ae4b0830
hex2d299ace4

12123221220 has 144 divisors (see below), whose sum is σ = 42476773248. Its totient is φ = 2766074880.

The previous prime is 12123221167. The next prime is 12123221221. The reversal of 12123221220 is 2212232121.

12123221220 is a `hidden beast` number, since 121 + 2 + 322 + 1 + 220 = 666.

12123221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12123221193 and 12123221202.

It is not an unprimeable number, because it can be changed into a prime (12123221221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 146424 + ... + 213743.

It is an arithmetic number, because the mean of its divisors is an integer number (294977592).

Almost surely, 212123221220 is an apocalyptic number.

12123221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123221220 is an abundant number, since it is smaller than the sum of its proper divisors (30353552028).

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

12123221220 is a wasteful number, since it uses less digits than its factorization.

12123221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360210 (or 360205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123221220 its reverse (2212232121), we get a palindrome (14335453341).

The spelling of 12123221220 in words is "twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 360167 720334 1080501 1440668 1800835 2161002 3241503 3601670 3961837 4322004 5402505 6122839 6483006 7203340 7923674 10805010 11885511 12245678 12966012 15847348 16207515 18368517 19809185 21610020 23771022 24491356 30614195 32415030 35656533 36737034 39618370 47542044 55105551 59427555 61228390 64830060 67351229 71313066 73474068 79236740 91842585 110211102 118855110 122456780 134702458 142626132 178282665 183685170 202053687 220422204 237710220 269404916 275527755 336756145 356565330 367370340 404107374 551055510 606161061 673512290 713130660 808214748 1010268435 1102111020 1212322122 1347024580 2020536870 2424644244 3030805305 4041073740 6061610610 12123221220