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12668414220 = 22325711914027
BaseRepresentation
bin10111100110001100…
…01010100100001100
31012200212212010021200
423303012022210030
5201421103223340
65453024025500
7625635513150
oct136306124414
935625763250
1012668414220
115410a98120
122556762290
13126b7951b7
148826d3060
154e22a4330
hex2f318a90c

12668414220 has 144 divisors (see below), whose sum is σ = 47909691648. Its totient is φ = 2632394880.

The previous prime is 12668414197. The next prime is 12668414243. The reversal of 12668414220 is 2241486621.

12668414220 is a `hidden beast` number, since 12 + 6 + 6 + 8 + 414 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12668414197) and next prime (12668414243).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 443154 + ... + 470873.

It is an arithmetic number, because the mean of its divisors is an integer number (332706192).

Almost surely, 212668414220 is an apocalyptic number.

12668414220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12668414220 is an abundant number, since it is smaller than the sum of its proper divisors (35241277428).

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

12668414220 is a wasteful number, since it uses less digits than its factorization.

12668414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914060 (or 914055 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12668414220 in words is "twelve billion, six hundred sixty-eight million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 914027 1828054 2742081 3656108 4570135 5484162 6398189 8226243 9140270 10054297 10968324 12796378 13710405 16452486 18280540 19194567 20108594 25592756 27420810 30162891 31990945 32904972 38389134 40217188 41131215 50271485 54841620 57583701 60325782 63981890 70380079 76778268 82262430 90488673 95972835 100542970 115167402 120651564 127963780 140760158 150814455 164524860 180977346 191945670 201085940 211140237 230334804 281520316 287918505 301628910 351900395 361954692 383891340 422280474 452443365 575837010 603257820 633420711 703800790 844560948 904886730 1055701185 1151674020 1266841422 1407601580 1809773460 2111402370 2533682844 3167103555 4222804740 6334207110 12668414220