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12210200002220 = 22511219347765287
BaseRepresentation
bin1011000110101110100010…
…1000100011111010101100
31121020021122211110120212212
42301223220220203322230
53100022442200032340
641545142145345552
72400105065365223
oct261535050437254
947207584416785
1012210200002220
113988353644700
1214525033382b8
136a7555c8451c
14302d96605cba
15162936aaca65
hexb1ae8a23eac

12210200002220 has 144 divisors (see below), whose sum is σ = 29753295425280. Its totient is φ = 4194257063040.

The previous prime is 12210200002219. The next prime is 12210200002261. The reversal of 12210200002220 is 2220000201221.

12210200002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12210200002195 and 12210200002204.

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, 15572417 + ... + 16337703.

It is an arithmetic number, because the mean of its divisors is an integer number (206620107120).

Almost surely, 212210200002220 is an apocalyptic number.

12210200002220 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 12210200002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876647712640).

12210200002220 is an abundant number, since it is smaller than the sum of its proper divisors (17543095423060).

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

12210200002220 is a wasteful number, since it uses less digits than its factorization.

12210200002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765684 (or 765671 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12210200002220 its reverse (2220000201221), we get a palindrome (14430200203441).

The spelling of 12210200002220 in words is "twelve trillion, two hundred ten billion, two hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 347 380 418 484 605 694 836 1045 1210 1388 1735 2090 2299 2420 3470 3817 4180 4598 6593 6940 7634 9196 11495 13186 15268 19085 22990 26372 32965 38170 41987 45980 65930 72523 76340 83974 131860 145046 167948 209935 290092 362615 419870 725230 765287 797753 839740 1450460 1530574 1595506 3061148 3191012 3826435 3988765 7652870 7977530 8418157 14540453 15305740 15955060 16836314 29080906 33672628 42090785 58161812 72702265 84181570 92599727 145404530 159944983 168363140 185199454 265554589 290809060 319889966 370398908 462998635 531109178 639779932 799724915 925997270 1062218356 1327772945 1599449830 1759394813 1851994540 2655545890 2921100479 3198899660 3518789626 5045537191 5311091780 5842200958 7037579252 8796974065 10091074382 11684401916 14605502395 17593948130 20182148764 25227685955 29211004790 32132105269 35187896260 50455371910 55500909101 58422009580 64264210538 100910743820 111001818202 128528421076 160660526345 222003636404 277504545505 321321052690 555009091010 610510000111 642642105380 1110018182020 1221020000222 2442040000444 3052550000555 6105100001110 12210200002220