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12134150551200 = 2535220063252001
BaseRepresentation
bin1011000010010011001110…
…1110111011011010100000
31120222000100211000012021210
42300210303232323122200
53042301220020114300
641450203553550120
72361443363620146
oct260446356733240
946860324005253
1012134150551200
113959078716537
12143b81a575340
136a0326448872
142dd4203cb596
15160985347050
hexb0933bbb6a0

12134150551200 has 144 divisors (see below), whose sum is σ = 39498785415936. Its totient is φ = 3235599360000.

The previous prime is 12134150551169. The next prime is 12134150551291. The reversal of 12134150551200 is 215505143121.

12134150551200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48025200 + ... + 48277200.

It is an arithmetic number, because the mean of its divisors is an integer number (274297120944).

Almost surely, 212134150551200 is an apocalyptic number.

12134150551200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134150551200 is an abundant number, since it is smaller than the sum of its proper divisors (27364634864736).

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

12134150551200 is a wasteful number, since it uses less digits than its factorization.

12134150551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272087 (or 272074 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 12134150551200 its reverse (215505143121), we get a palindrome (12349655694321).

The spelling of 12134150551200 in words is "twelve trillion, one hundred thirty-four billion, one hundred fifty million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 20063 40126 60189 80252 100315 120378 160504 200630 240756 252001 300945 321008 401260 481512 501575 504002 601890 642016 756003 802520 963024 1003150 1008004 1203780 1260005 1504725 1512006 1605040 1926048 2006300 2016008 2407560 2520010 3009450 3024012 3210080 3780015 4012600 4032016 4815120 5040020 6018900 6048024 6300025 7560030 8025200 8064032 9630240 10080040 12037800 12096048 12600050 15120060 16050400 18900075 20160080 24075600 24192096 25200100 30240120 37800150 40320160 48151200 50400200 60480240 75600300 100800400 120960480 151200600 201600800 302401200 604802400 5055896063 10111792126 15167688189 20223584252 25279480315 30335376378 40447168504 50558960630 60670752756 75838440945 80894337008 101117921260 121341505512 126397401575 151676881890 161788674016 202235842520 242683011024 252794803150 303353763780 379192204725 404471685040 485366022048 505589606300 606707527560 758384409450 808943370080 1011179212600 1213415055120 1516768818900 2022358425200 2426830110240 3033537637800 4044716850400 6067075275600 12134150551200