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12221200100010 = 23511173476278003
BaseRepresentation
bin1011000111010111100001…
…0010100110101010101010
31121021100001110002110021010
42301311320102212222222
53100213004211200020
641554201455524350
72400644505566166
oct261657022465252
947240043073233
1012221200100010
113991a88939a10
1214546732296b6
136a85b9c14525
1430371b4ddca6
15162d7c66ade0
hexb1d784a6aaa

12221200100010 has 128 divisors (see below), whose sum is σ = 33977160336384. Its totient is φ = 2780401525760.

The previous prime is 12221200099991. The next prime is 12221200100051. The reversal of 12221200100010 is 1000100212221.

12221200100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1192332 + ... + 5085671.

It is an arithmetic number, because the mean of its divisors is an integer number (265446565128).

Almost surely, 212221200100010 is an apocalyptic number.

12221200100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12221200100010 is an abundant number, since it is smaller than the sum of its proper divisors (21755960236374).

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

12221200100010 is a wasteful number, since it uses less digits than its factorization.

12221200100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278388.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221200100010 its reverse (1000100212221), we get a palindrome (13221300312231).

The spelling of 12221200100010 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 347 374 510 561 694 935 1041 1122 1735 1870 2082 2805 3470 3817 5205 5610 5899 7634 10410 11451 11798 17697 19085 22902 29495 35394 38170 57255 58990 64889 88485 114510 129778 176970 194667 324445 389334 648890 973335 1946670 6278003 12556006 18834009 31390015 37668018 62780030 69058033 94170045 106726051 138116066 188340090 207174099 213452102 320178153 345290165 414348198 533630255 640356306 690580330 1035870495 1067260510 1173986561 1600890765 2071740990 2178467041 2347973122 3201781530 3521959683 4356934082 5869932805 6535401123 7043919366 10892335205 11739865610 13070802246 17609798415 21784670410 23963137451 32677005615 35219596830 37033939697 47926274902 65354011230 71889412353 74067879394 111101819091 119815687255 143778824706 185169698485 222203638182 239631374510 359447061765 370339396970 407373336667 555509095455 718894123530 814746673334 1111018190910 1222120010001 2036866683335 2444240020002 4073733366670 6110600050005 12221200100010