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12280210320 = 2435710967061
BaseRepresentation
bin10110110111111010…
…10010001110010000
31011200211101022122110
423123331102032100
5200122213212240
65350315305320
7613213031310
oct133375221620
934624338573
1012280210320
115231949854
12246874b240
131209223b51
14846d1d440
154bd170c80
hex2dbf52390

12280210320 has 160 divisors (see below), whose sum is σ = 43906832640. Its totient is φ = 2781112320.

The previous prime is 12280210309. The next prime is 12280210357. The reversal of 12280210320 is 2301208221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149590 + ... + 216650.

It is an arithmetic number, because the mean of its divisors is an integer number (274417704).

Almost surely, 212280210320 is an apocalyptic number.

12280210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12280210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21953416320).

12280210320 is an abundant number, since it is smaller than the sum of its proper divisors (31626622320).

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

12280210320 is a wasteful number, since it uses less digits than its factorization.

12280210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67193 (or 67187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12280210320 its reverse (2301208221), we get a palindrome (14581418541).

The spelling of 12280210320 in words is "twelve billion, two hundred eighty million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 109 112 120 140 168 210 218 240 280 327 336 420 436 545 560 654 763 840 872 1090 1308 1526 1635 1680 1744 2180 2289 2616 3052 3270 3815 4360 4578 5232 6104 6540 7630 8720 9156 11445 12208 13080 15260 18312 22890 26160 30520 36624 45780 61040 67061 91560 134122 183120 201183 268244 335305 402366 469427 536488 670610 804732 938854 1005915 1072976 1341220 1408281 1609464 1877708 2011830 2347135 2682440 2816562 3218928 3755416 4023660 4694270 5364880 5633124 7041405 7309649 7510832 8047320 9388540 11266248 14082810 14619298 16094640 18777080 21928947 22532496 28165620 29238596 36548245 37554160 43857894 51167543 56331240 58477192 73096490 87715788 102335086 109644735 112662480 116954384 146192980 153502629 175431576 204670172 219289470 255837715 292385960 307005258 350863152 409340344 438578940 511675430 584771920 614010516 767513145 818680688 877157880 1023350860 1228021032 1535026290 1754315760 2046701720 2456042064 3070052580 4093403440 6140105160 12280210320