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12444320000200 = 23521125722009763
BaseRepresentation
bin1011010100010110101101…
…0001011110100011001000
31122001122222001112202111011
42311011223101132203020
53112341431410001300
642244501445413304
72423033564500054
oct265055321364310
948048861482434
1012444320000200
113a68674243340
12148b96170a234
136c36570b31ca
14310445da0c64
15168a8a6d5eba
hexb516b45e8c8

12444320000200 has 96 divisors (see below), whose sum is σ = 31686136644960. Its totient is φ = 4507599257600.

The previous prime is 12444320000191. The next prime is 12444320000213. The reversal of 12444320000200 is 200002344421.

It is a happy number.

It is a super-2 number, since 2×124443200002002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 10439482 + ... + 11570281.

It is an arithmetic number, because the mean of its divisors is an integer number (330063923385).

Almost surely, 212444320000200 is an apocalyptic number.

12444320000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444320000200 is an abundant number, since it is smaller than the sum of its proper divisors (19241816644760).

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

12444320000200 is a wasteful number, since it uses less digits than its factorization.

12444320000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010047 (or 22010038 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12444320000200 its reverse (200002344421), we get a palindrome (12644322344621).

The spelling of 12444320000200 in words is "twelve trillion, four hundred forty-four billion, three hundred twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 257 275 440 514 550 1028 1100 1285 2056 2200 2570 2827 5140 5654 6425 10280 11308 12850 14135 22616 25700 28270 51400 56540 70675 113080 141350 282700 565400 22009763 44019526 88039052 110048815 176078104 220097630 242107393 440195260 484214786 550244075 880390520 968429572 1100488150 1210536965 1936859144 2200976300 2421073930 4401952600 4842147860 5656509091 6052684825 9684295720 11313018182 12105369650 22626036364 24210739300 28282545455 45252072728 48421478600 56565090910 62221600001 113130181820 124443200002 141412727275 226260363640 248886400004 282825454550 311108000005 497772800008 565650909100 622216000010 1131301818200 1244432000020 1555540000025 2488864000040 3111080000050 6222160000100 12444320000200