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12303320322312 = 2333793891853497
BaseRepresentation
bin1011001100001001011100…
…0010011001000100001000
31121120012000112202222111000
42303002113002121010020
53103034200000303222
642100022313135000
72406612514141005
oct263022702310410
947505015688430
1012303320322312
113a13899636428
1214685710ba460
136b3276397846
143076abaaa8ac
15165086d489ac
hexb3097099108

12303320322312 has 128 divisors (see below), whose sum is σ = 34697482560000. Its totient is φ = 4038782611968.

The previous prime is 12303320322277. The next prime is 12303320322341. The reversal of 12303320322312 is 21322302330321.

12303320322312 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 3 + 20 + 322 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5711148 + ... + 7564644.

It is an arithmetic number, because the mean of its divisors is an integer number (271074082500).

Almost surely, 212303320322312 is an apocalyptic number.

12303320322312 is a gapful number since it is divisible by the number (12) 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 12303320322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348741280000).

12303320322312 is an abundant number, since it is smaller than the sum of its proper divisors (22394162237688).

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

12303320322312 is a wasteful number, since it uses less digits than its factorization.

12303320322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853980 (or 1853970 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12303320322312 its reverse (21322302330321), we get a palindrome (33625622652633).

The spelling of 12303320322312 in words is "twelve trillion, three hundred three billion, three hundred twenty million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 389 474 632 711 778 948 1167 1422 1556 1896 2133 2334 2844 3112 3501 4266 4668 5688 7002 8532 9336 10503 14004 17064 21006 28008 30731 42012 61462 84024 92193 122924 184386 245848 276579 368772 553158 737544 829737 1106316 1659474 1853497 2212632 3318948 3706994 5560491 6637896 7413988 11120982 14827976 16681473 22241964 33362946 44483928 50044419 66725892 100088838 133451784 146426263 200177676 292852526 400355352 439278789 585705052 721010333 878557578 1171410104 1317836367 1442020666 1757115156 2163030999 2635672734 2884041332 3514230312 3953509101 4326061998 5271345468 5768082664 6489092997 7907018202 8652123996 10542690936 12978185994 15814036404 17304247992 19467278991 25956371988 31628072808 38934557982 51912743976 56959816307 77869115964 113919632614 155738231928 170879448921 227839265228 341758897842 455678530456 512638346763 683517795684 1025276693526 1367035591368 1537915040289 2050553387052 3075830080578 4101106774104 6151660161156 12303320322312