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12331661005620 = 223251117366359507
BaseRepresentation
bin1011001101110011000001…
…0001100001001100110100
31121122220011122202212021100
42303130300101201030310
53104020220204134440
642121030432250100
72411635025026605
oct263346021411464
947586148685240
1012331661005620
113a24912174250
121471b603a0930
136b5b41a58c38
14308bd99bddac
15165b94e58230
hexb3730461334

12331661005620 has 144 divisors (see below), whose sum is σ = 43206974935488. Its totient is φ = 2813641006080.

The previous prime is 12331661005583. The next prime is 12331661005711. The reversal of 12331661005620 is 2650016613321.

12331661005620 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 16 + 6 + 10 + 0 + 5 + 620 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 183146094 + ... + 183213413.

It is an arithmetic number, because the mean of its divisors is an integer number (300048437052).

Almost surely, 212331661005620 is an apocalyptic number.

12331661005620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331661005620 is an abundant number, since it is smaller than the sum of its proper divisors (30875313929868).

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

12331661005620 is a wasteful number, since it uses less digits than its factorization.

12331661005620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366359550 (or 366359545 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 12331661005620 its reverse (2650016613321), we get a palindrome (14981677618941).

The spelling of 12331661005620 in words is "twelve trillion, three hundred thirty-one billion, six hundred sixty-one million, five thousand, six 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 366359507 732719014 1099078521 1465438028 1831797535 2198157042 3297235563 3663595070 4029954577 4396314084 5495392605 6228111619 6594471126 7327190140 8059909154 10990785210 12089863731 12456223238 13188942252 16119818308 16486177815 18684334857 20149772885 21981570420 24179727462 24912446476 31140558095 32972355630 36269591193 37368669714 40299545770 48359454924 56053004571 60449318655 62281116190 65944711260 68509227809 72539182386 74737339428 80599091540 93421674285 112106009142 120898637310 124562232380 137018455618 145078364772 181347955965 186843348570 205527683427 224212018284 241797274620 274036911236 280265022855 342546139045 362695911930 373686697140 411055366854 560530045710 616583050281 685092278090 725391823860 822110733708 1027638417135 1121060091420 1233166100562 1370184556180 2055276834270 2466332201124 3082915251405 4110553668540 6165830502810 12331661005620