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12211213203300 = 22352139864133889
BaseRepresentation
bin1011000110110010010100…
…0001100111011101100100
31121020101021102222112110210
42301230211001213131210
53100032031040001200
641545430502015420
72400142150430226
oct261544501473544
947211242875423
1012211213203300
113988823564671
121452746717570
136a7687b642a7
14303050dcc416
151629959ea650
hexb1b25067764

12211213203300 has 144 divisors (see below), whose sum is σ = 35590459217600. Its totient is φ = 3232427212800.

The previous prime is 12211213203283. The next prime is 12211213203331. The reversal of 12211213203300 is 330231211221.

It is a super-2 number, since 2×122112132033002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360312756 + ... + 360346644.

Almost surely, 212211213203300 is an apocalyptic number.

12211213203300 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 12211213203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795229608800).

12211213203300 is an abundant number, since it is smaller than the sum of its proper divisors (23379246014300).

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

12211213203300 is a wasteful number, since it uses less digits than its factorization.

12211213203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42686 (or 42679 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12211213203300 its reverse (330231211221), we get a palindrome (12541444414521).

The spelling of 12211213203300 in words is "twelve trillion, two hundred eleven billion, two hundred thirteen million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 8641 10425 13900 17282 20850 25923 33889 34564 41700 43205 51846 67778 86410 101667 103692 129615 135556 169445 172820 203334 216025 259230 338890 406668 432050 508335 518460 648075 677780 847225 864100 1016670 1201099 1296150 1694450 2033340 2402198 2541675 2592300 3388900 3603297 4710571 4804396 5083350 6005495 7206594 9421142 10166700 12010990 14131713 14413188 18016485 18842284 23552855 24021980 28263426 30027475 36032970 47105710 56526852 60054950 70658565 72065940 90082425 94211420 117764275 120109900 141317130 180164850 235528550 282634260 292834849 353292825 360329700 471057100 585669698 706585650 878504547 1171339396 1413171300 1464174245 1757009094 2928348490 3514018188 4392522735 5856696980 7320871225 8785045470 14641742450 17570090940 21962613675 29283484900 40704044011 43925227350 81408088022 87850454700 122112132033 162816176044 203520220055 244224264066 407040440110 488448528132 610560660165 814080880220 1017601100275 1221121320330 2035202200550 2442242640660 3052803300825 4070404401100 6105606601650 12211213203300