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12281785680000 = 2735451174107
BaseRepresentation
bin1011001010111001001101…
…1110010000000010000000
31121111010102202112210202010
42302232103132100002000
53102211044113230000
642042101403052520
72405221045534164
oct262562336200200
947433382483663
1012281785680000
113a05748915981
121464361211140
136b1223a8b945
14306627a64ca4
151647264ddd50
hexb2b93790080

12281785680000 has 160 divisors (see below), whose sum is σ = 40766317914960. Its totient is φ = 3275142784000.

The previous prime is 12281785679983. The next prime is 12281785680007. The reversal of 12281785680000 is 8658718221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12281785680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25347054 + ... + 25827053.

Almost surely, 212281785680000 is an apocalyptic number.

12281785680000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12281785680000 is an abundant number, since it is smaller than the sum of its proper divisors (28484532234960).

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

12281785680000 is an frugal number, since it uses more digits than its factorization.

12281785680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51174144 (or 51174117 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 12281785680000 in words is "twelve trillion, two hundred eighty-one billion, seven hundred eighty-five million, six hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 51174107 102348214 153522321 204696428 255870535 307044642 409392856 511741070 614089284 767611605 818785712 1023482140 1228178568 1279352675 1535223210 1637571424 2046964280 2456357136 2558705350 3070446420 3275142848 3838058025 4093928560 4912714272 5117410700 6140892840 6396763375 6550285696 7676116050 8187857120 9825428544 10234821400 12281785680 12793526750 15352232100 16375714240 19190290125 19650857088 20469642800 24563571360 25587053500 30704464200 31983816875 32751428480 38380580250 40939285600 49127142720 51174107000 61408928400 63967633750 76761160500 81878571200 95951450625 98254285440 102348214000 122817856800 127935267500 153522321000 163757142400 191902901250 204696428000 245635713600 255870535000 307044642000 383805802500 409392856000 491271427200 511741070000 614089284000 767611605000 818785712000 1023482140000 1228178568000 1535223210000 2046964280000 2456357136000 3070446420000 4093928560000 6140892840000 12281785680000