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12200222120002 = 2721743219320521
BaseRepresentation
bin1011000110001001010111…
…1001111101100001000010
31121012022220110022122122121
42301202111321331201002
53044342023330320002
641540412112554454
72366302606652500
oct261422571754102
947168813278577
1012200222120002
1139840a3367054
121450599852a2a
136a6625a3c3c7
143026cb39d670
15162550b1d237
hexb1895e7d842

12200222120002 has 144 divisors (see below), whose sum is σ = 23197471117272. Its totient is φ = 4781515898880.

The previous prime is 12200222119999. The next prime is 12200222120063. The reversal of 12200222120002 is 20002122200221.

It can be written as a sum of positive squares in 4 ways, for example, as 11084644668321 + 1115577451681 = 3329361^2 + 1056209^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 594513502 + ... + 594534022.

Almost surely, 212200222120002 is an apocalyptic number.

12200222120002 is a deficient number, since it is larger than the sum of its proper divisors (10997248997270).

12200222120002 is a wasteful number, since it uses less digits than its factorization.

12200222120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833 (or 20783 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12200222120002 its reverse (20002122200221), we get a palindrome (32202344320223).

The spelling of 12200222120002 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred twenty thousand, two".

Divisors: 1 2 7 14 17 34 43 49 86 98 119 193 238 301 386 602 731 833 1351 1462 1666 1849 2107 2702 3281 3698 4214 5117 6562 8299 9457 10234 12943 16598 18914 20521 22967 25886 31433 35819 41042 45934 58093 62866 71638 90601 116186 141083 143647 160769 181202 220031 282166 287294 321538 348857 356857 406651 440062 697714 713714 813302 882403 987581 1005529 1540217 1764806 1975162 2011058 2441999 2497999 3080434 3960553 4883998 4995998 6066569 6176821 6913067 7921106 12133138 12353642 13826134 15000851 17093993 17485993 27723871 30001702 34187986 34971986 37943329 42465983 43237747 55447742 67329401 75886658 84931966 86475494 105005957 134658802 170303779 194067097 210011914 265603303 297261881 340607558 388134194 471305807 531206606 594523762 645036593 735041699 942611614 1192126453 1290073186 1470083398 1859223121 2384252906 2895164243 3299140649 3718446242 4515256151 5790328486 6598281298 7323062497 8344885171 9030512302 14646124994 16689770342 20266149701 31606793057 40532299402 51261437479 63213586114 102522874958 124492062449 141863047907 248984124898 283726095814 358830062353 717660124706 871444437143 1742888874286 6100111060001 12200222120002