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12320230012200 = 23325211622233839
BaseRepresentation
bin1011001101001000011011…
…1011101111010100101000
31121121210200000100020012200
42303102012323233110220
53103323312340342300
642111500250340200
72411051533135305
oct263220673572450
947553600306180
1012320230012200
113a1aa86721750
12146b8b012a660
136b4a3c75aac6
1430843379c0ac
15165726632200
hexb3486eef528

12320230012200 has 144 divisors (see below), whose sum is σ = 45136842753600. Its totient is φ = 2986722422400.

The previous prime is 12320230012163. The next prime is 12320230012217. The reversal of 12320230012200 is 221003202321.

12320230012200 is a `hidden beast` number, since 1 + 232 + 0 + 230 + 0 + 1 + 2 + 200 = 666.

It is a super-2 number, since 2×123202300122002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311097120 + ... + 311136719.

It is an arithmetic number, because the mean of its divisors is an integer number (313450296900).

Almost surely, 212320230012200 is an apocalyptic number.

12320230012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320230012200 is an abundant number, since it is smaller than the sum of its proper divisors (32816612741400).

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

12320230012200 is a wasteful number, since it uses less digits than its factorization.

12320230012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622233872 (or 622233860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12320230012200 its reverse (221003202321), we get a palindrome (12541233214521).

The spelling of 12320230012200 in words is "twelve trillion, three hundred twenty billion, two hundred thirty million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 622233839 1244467678 1866701517 2488935356 3111169195 3733403034 4977870712 5600104551 6222338390 6844572229 7466806068 9333507585 11200209102 12444676780 13689144458 14933612136 15555845975 18667015170 20533716687 22400418204 24889353560 27378288916 28000522755 31111691950 34222861145 37334030340 41067433374 44800836408 46667537925 54756577832 56001045510 61601150061 62223383900 68445722290 74668060680 82134866748 93335075850 102668583435 112002091020 123202300122 124446767800 136891444580 140002613775 164269733496 171114305725 186670151700 205337166870 224004182040 246404600244 273782889160 280005227550 308005750305 342228611450 373340303400 410674333740 492809200488 513342917175 560010455100 616011500610 684457222900 821348667480 1026685834350 1120020910200 1232023001220 1368914445800 1540028751525 2053371668700 2464046002440 3080057503050 4106743337400 6160115006100 12320230012200