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12012310320 = 2435596113907
BaseRepresentation
bin10110010111111110…
…10100111100110000
31011000011021120221020
423023333110330300
5144100122412240
65303545255440
7603450644613
oct131377247460
934004246836
1012012310320
1151046aa59a
1223b2a94580
131195884b3a
1481d50417a
154a48a30d0
hex2cbfd4f30

12012310320 has 160 divisors (see below), whose sum is σ = 38492893440. Its totient is φ = 3097144320.

The previous prime is 12012310301. The next prime is 12012310333. The reversal of 12012310320 is 2301321021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012310320.

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, 856807 + ... + 870713.

It is an arithmetic number, because the mean of its divisors is an integer number (240580584).

Almost surely, 212012310320 is an apocalyptic number.

12012310320 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 12012310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19246446720).

12012310320 is an abundant number, since it is smaller than the sum of its proper divisors (26480583120).

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

12012310320 is a wasteful number, since it uses less digits than its factorization.

12012310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12012310320 its reverse (2301321021), we get a palindrome (14313631341).

The spelling of 12012310320 in words is "twelve billion, twelve million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 61 80 118 120 122 177 183 236 240 244 295 305 354 366 472 488 590 610 708 732 885 915 944 976 1180 1220 1416 1464 1770 1830 2360 2440 2832 2928 3540 3599 3660 4720 4880 7080 7198 7320 10797 13907 14160 14396 14640 17995 21594 27814 28792 35990 41721 43188 53985 55628 57584 69535 71980 83442 86376 107970 111256 139070 143960 166884 172752 208605 215940 222512 278140 287920 333768 417210 431880 556280 667536 820513 834420 848327 863760 1112560 1641026 1668840 1696654 2461539 2544981 3282052 3337680 3393308 4102565 4241635 4923078 5089962 6564104 6786616 8205130 8483270 9846156 10179924 12307695 12724905 13128208 13573232 16410260 16966540 19692312 20359848 24615390 25449810 32820520 33933080 39384624 40719696 49230780 50051293 50899620 65641040 67866160 98461560 100102586 101799240 150153879 196923120 200205172 203598480 250256465 300307758 400410344 500512930 600615516 750769395 800820688 1001025860 1201231032 1501538790 2002051720 2402462064 3003077580 4004103440 6006155160 12012310320