Search a number
-
+
12211122200200 = 2352711792930013
BaseRepresentation
bin1011000110110001111110…
…0110011101111010001000
31121020101001002202002200121
42301230133212131322020
53100031334240401300
641545413451313024
72400136664056120
oct261543746357210
947211032662617
1012211122200200
1139887871586a0
12145272014b774
136a76720508c1
14303042c9dc80
1516298ca2181a
hexb1b1f99de88

12211122200200 has 96 divisors (see below), whose sum is σ = 35396395824960. Its totient is φ = 3806064057600.

The previous prime is 12211122200159. The next prime is 12211122200201. The reversal of 12211122200200 is 200222111221.

It is a happy number.

It is a super-2 number, since 2×122111222002002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211122200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396449607 + ... + 396480406.

It is an arithmetic number, because the mean of its divisors is an integer number (368712456510).

Almost surely, 212211122200200 is an apocalyptic number.

12211122200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211122200200 is an abundant number, since it is smaller than the sum of its proper divisors (23185273624760).

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

12211122200200 is a wasteful number, since it uses less digits than its factorization.

12211122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792930047 (or 792930038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12211122200200 its reverse (200222111221), we get a palindrome (12411344311421).

The spelling of 12211122200200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 792930013 1585860026 3171720052 3964650065 5550510091 6343440104 7929300130 8722230143 11101020182 15858600260 17444460286 19823250325 22202040364 27752550455 31717200520 34888920572 39646500650 43611150715 44404080728 55505100910 61055611001 69777841144 79293001300 87222301430 111010201820 122111222002 138762752275 158586002600 174444602860 218055753575 222020403640 244222444004 277525504550 305278055005 348889205720 436111507150 488444888008 555051009100 610556110010 872223014300 1110102018200 1221112220020 1526390275025 1744446028600 2442224440040 3052780550050 6105561100100 12211122200200