Search a number
-
+
12212012220200 = 23521338312263519
BaseRepresentation
bin1011000110110101010010…
…1001100111111100101000
31121020110100010110210121022
42301231110221213330220
53100040200112021300
641550042043432012
72400201022110452
oct261552451477450
947213303423538
1012212012220200
1139890a3593911
12145292a225608
136a7784561860
143030c917d2d2
151629e0c2b285
hexb1b54a67f28

12212012220200 has 96 divisors (see below), whose sum is σ = 30656837836800. Its totient is φ = 4497277320960.

The previous prime is 12212012220061. The next prime is 12212012220241. The reversal of 12212012220200 is 202221021221.

It is a happy number.

It is a super-3 number, since 3×122120122202003 (a number of 40 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5135960 + ... + 7127559.

It is an arithmetic number, because the mean of its divisors is an integer number (319342060800).

Almost surely, 212212012220200 is an apocalyptic number.

12212012220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212012220200 is an abundant number, since it is smaller than the sum of its proper divisors (18444825616600).

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

12212012220200 is a wasteful number, since it uses less digits than its factorization.

12212012220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263931 (or 12263922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12212012220200 its reverse (202221021221), we get a palindrome (12414233241421).

The spelling of 12212012220200 in words is "twelve trillion, two hundred twelve billion, twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 383 520 650 766 1300 1532 1915 2600 3064 3830 4979 7660 9575 9958 15320 19150 19916 24895 38300 39832 49790 76600 99580 124475 199160 248950 497900 995800 12263519 24527038 49054076 61317595 98108152 122635190 159425747 245270380 306587975 318851494 490540760 613175950 637702988 797128735 1226351900 1275405976 1594257470 2452703800 3188514940 3985643675 4696927777 6377029880 7971287350 9393855554 15942574700 18787711108 23484638885 31885149400 37575422216 46969277770 61060061101 93938555540 117423194425 122120122202 187877111080 234846388850 244240244404 305300305505 469692777700 488480488808 610600611010 939385555400 1221201222020 1526501527525 2442402444040 3053003055050 6106006110100 12212012220200