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12211103320020 = 223251137166681727
BaseRepresentation
bin1011000110110001111001…
…1110011100011111010100
31121020100222210012212221200
42301230132132130133110
53100031314422220040
641545411534512500
72400136344432633
oct261543636343724
947210883185850
1012211103320020
113988777532740
121452715965730
136a766b1700b7
1430304058751a
1516298b042630
hexb1b1e79c7d4

12211103320020 has 144 divisors (see below), whose sum is σ = 41499749910528. Its totient is φ = 2880260225280.

The previous prime is 12211103319991. The next prime is 12211103320051. The reversal of 12211103320020 is 2002330111221.

12211103320020 is a `hidden beast` number, since 1 + 221 + 1 + 103 + 320 + 0 + 20 = 666.

It is a super-2 number, since 2×122111033200202 (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 a junction number, because it is equal to n+sod(n) for n = 12211103319975 and 12211103320002.

It is a congruent number.

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, 83267604 + ... + 83414123.

It is an arithmetic number, because the mean of its divisors is an integer number (288192707712).

Almost surely, 212211103320020 is an apocalyptic number.

12211103320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211103320020 is an abundant number, since it is smaller than the sum of its proper divisors (29288646590508).

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

12211103320020 is a wasteful number, since it uses less digits than its factorization.

12211103320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166681790 (or 166681785 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211103320020 its reverse (2002330111221), we get a palindrome (14213433431241).

The spelling of 12211103320020 in words is "twelve trillion, two hundred eleven billion, one hundred three million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 166681727 333363454 500045181 666726908 833408635 1000090362 1500135543 1666817270 1833498997 2000180724 2500225905 3000271086 3333634540 3666997994 5000451810 5500496991 6000542172 6167223899 7333995988 7500677715 9167494985 10000903620 11000993982 12334447798 15001355430 16501490973 18334989970 18501671697 22001987964 24668895596 27502484955 30002710860 30836119495 33002981946 36669979940 37003343394 55004969910 55505015091 61672238990 66005963892 67839462889 74006686788 82507454865 92508358485 110009939820 111010030182 123344477980 135678925778 165014909730 185016716970 203518388667 222020060364 271357851556 277525075455 330029819460 339197314445 370033433940 407036777334 555050150910 610555166001 678394628890 814073554668 1017591943335 1110100301820 1221110332002 1356789257780 2035183886670 2442220664004 3052775830005 4070367773340 6105551660010 12211103320020