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12001210412868 = 223213146113014243
BaseRepresentation
bin1010111010100011111111…
…1000100010111101000100
31120111022012222200110002200
42232220333320202331010
53033111434331202433
641305140245234500
72346026116240005
oct256507770427504
946438188613080
1012001210412868
113907759452a16
121419ab9102a30
1369092b3bb811
142d6c0c65d1ac
1515c2a4316613
hexaea3fe22f44

12001210412868 has 144 divisors (see below), whose sum is σ = 30665048686272. Its totient is φ = 3957276960000.

The previous prime is 12001210412857. The next prime is 12001210412881. The reversal of 12001210412868 is 86821401210021.

12001210412868 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 210 + 412 + 8 + 6 + 8 = 666.

It is a super-2 number, since 2×120012104128682 (a number of 27 digits) contains 22 as substring.

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, 2828470755 + ... + 2828474997.

It is an arithmetic number, because the mean of its divisors is an integer number (212951726988).

Almost surely, 212001210412868 is an apocalyptic number.

12001210412868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12001210412868 is an abundant number, since it is smaller than the sum of its proper divisors (18663838273404).

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

12001210412868 is a wasteful number, since it uses less digits than its factorization.

12001210412868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 12001210412868 its reverse (86821401210021), we get a palindrome (98822611622889).

The spelling of 12001210412868 in words is "twelve trillion, one billion, two hundred ten million, four hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 461 524 786 922 1179 1301 1383 1572 1844 2358 2602 2766 3903 4149 4243 4716 5204 5532 7806 8298 8486 11709 12729 15612 16596 16972 23418 25458 38187 46836 50916 60391 76374 120782 152748 170431 181173 241564 340862 362346 511293 543519 555833 599761 681724 724692 1022586 1087038 1111666 1199522 1533879 1667499 1799283 1956023 2045172 2174076 2223332 2399044 3067758 3334998 3598566 3912046 5002497 5397849 5520143 5868069 6135516 6669996 7197132 7824092 10004994 10795698 11040286 11736138 16560429 17604207 20009988 21591396 22080572 23472276 33120858 35208414 49681287 66241716 70416828 78568691 99362574 157137382 198725148 235706073 256239013 314274764 471412146 512478026 707118219 723138733 768717039 942824292 1024956052 1414236438 1446277466 1537434078 2169416199 2306151117 2544785923 2828472876 2892554932 3074868156 4338832398 4612302234 5089571846 6508248597 7634357769 8677664796 9224604468 10179143692 13016497194 15268715538 22903073307 26032994388 30537431076 45806146614 91612293228 333366955913 666733911826 1000100867739 1333467823652 2000201735478 3000302603217 4000403470956 6000605206434 12001210412868