Search a number
-
+
12201112111210 = 251117231012808721
BaseRepresentation
bin1011000110001100101011…
…1101000000100001101010
31121012102012110222220001221
42301203022331000201222
53044400334200024320
641541040304332254
72366333634524161
oct261431275004152
947172173886057
1012201112111210
11398450a782680
1214507a791408a
136a6738240219
143027736723d8
151625a3d1e3aa
hexb18caf4086a

12201112111210 has 128 divisors (see below), whose sum is σ = 26732921660928. Its totient is φ = 3954677760000.

The previous prime is 12201112111147. The next prime is 12201112111219. The reversal of 12201112111210 is 1211121110221.

It is not an unprimeable number, because it can be changed into a prime (12201112111219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2939650 + ... + 5748370.

It is an arithmetic number, because the mean of its divisors is an integer number (208850950476).

Almost surely, 212201112111210 is an apocalyptic number.

12201112111210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12201112111210 is an abundant number, since it is smaller than the sum of its proper divisors (14531809549718).

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

12201112111210 is a wasteful number, since it uses less digits than its factorization.

12201112111210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808880.

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

Adding to 12201112111210 its reverse (1211121110221), we get a palindrome (13412233221431).

It can be divided in two parts, 122011 and 12111210, that added together give a palindrome (12233221).

The spelling of 12201112111210 in words is "twelve trillion, two hundred one billion, one hundred twelve million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 23 34 46 55 85 101 110 115 170 187 202 230 253 374 391 505 506 782 935 1010 1111 1265 1717 1870 1955 2222 2323 2530 3434 3910 4301 4646 5555 8585 8602 11110 11615 17170 18887 21505 23230 25553 37774 39491 43010 51106 78982 94435 127765 188870 197455 255530 394910 434401 868802 2172005 2808721 4344010 5617442 14043605 28087210 30895931 47748257 61791862 64600583 95496514 129201166 154479655 238741285 283680821 308959310 323002915 477482570 525230827 567361642 646005830 710606413 1050461654 1098209911 1418404105 1421212826 2196419822 2626154135 2836808210 3120489031 3553032065 4822573957 5252308270 5491049555 6240978062 6524658883 7106064130 9645147914 10982099110 12080309021 13049317766 15602445155 24112869785 24160618042 31204890310 32623294415 48225739570 53048313527 60401545105 65246588830 71771247713 106096627054 110919201011 120803090210 143542495426 221838402022 265241567635 358856238565 530483135270 554596005055 717712477130 1109192010110 1220111211121 2440222422242 6100556055605 12201112111210