Search a number
-
+
12201112010010 = 23571123229646377
BaseRepresentation
bin1011000110001100101011…
…1100100111110100011010
31121012102012110210202020210
42301203022330213310122
53044400334133310020
641541040302231550
72366333633623140
oct261431274476432
947172173722223
1012201112010010
11398450a713640
1214507a78855b6
136a6738206141
14302773647590
151625a3cee3e0
hexb18caf27d1a

12201112010010 has 128 divisors (see below), whose sum is σ = 38095578353664. Its totient is φ = 2425065730560.

The previous prime is 12201112009991. The next prime is 12201112010023. The reversal of 12201112010010 is 1001021110221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114770059 + ... + 114876318.

It is an arithmetic number, because the mean of its divisors is an integer number (297621705888).

Almost surely, 212201112010010 is an apocalyptic number.

12201112010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12201112010010 is an abundant number, since it is smaller than the sum of its proper divisors (25894466343654).

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

12201112010010 is a wasteful number, since it uses less digits than its factorization.

12201112010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229646428.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12201112010010 its reverse (1001021110221), we get a palindrome (13202133120231).

The spelling of 12201112010010 in words is "twelve trillion, two hundred one billion, one hundred twelve million, ten thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 5313 7590 8855 10626 17710 26565 53130 229646377 459292754 688939131 1148231885 1377878262 1607524639 2296463770 2526110147 3215049278 3444695655 4822573917 5052220294 5281866671 6889391310 7578330441 8037623195 9645147834 10563733342 12630550735 15156660882 15845600013 16075246390 17682771029 24112869585 25261101470 26409333355 31691200026 35365542058 36973066697 37891652205 48225739170 52818666710 53048313087 58100533381 73946133394 75783304410 79228000065 88413855145 106096626174 110919200091 116201066762 158456000130 174301600143 176827710290 184865333485 221838400182 265241565435 290502666905 348603200286 369730666970 406703733667 530483130870 554596000455 581005333810 813407467334 871508000715 1109192000910 1220111201001 1743016001430 2033518668335 2440222402002 4067037336670 6100556005005 12201112010010