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12121122221000 = 2353132224741911
BaseRepresentation
bin1011000001100010101100…
…1011110010101111001000
31120220202201211220110002122
42300120223023302233020
53042043024242033000
641440211111350412
72360502464630162
oct260305313625710
946822654813078
1012121122221000
1139535a25511a1
1214391a3382408
1369c02b237c40
142dc945da9932
1516047169b085
hexb062b2f2bc8

12121122221000 has 128 divisors (see below), whose sum is σ = 30547329845760. Its totient is φ = 4475183328000.

The previous prime is 12121122220993. The next prime is 12121122221017. The reversal of 12121122221000 is 12222112121.

It is a self number, because there is not a number n which added to its sum of digits gives 12121122221000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289190045 + ... + 289231955.

It is an arithmetic number, because the mean of its divisors is an integer number (238651014420).

Almost surely, 212121122221000 is an apocalyptic number.

12121122221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273664922880).

12121122221000 is an abundant number, since it is smaller than the sum of its proper divisors (18426207624760).

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

12121122221000 is a wasteful number, since it uses less digits than its factorization.

12121122221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64192 (or 64178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12121122221000 its reverse (12222112121), we get a palindrome (12133344333121).

The spelling of 12121122221000 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 22247 41911 44494 83822 88988 111235 167644 177976 209555 222470 289211 335288 419110 444940 544843 556175 578422 838220 889880 1047775 1089686 1112350 1156844 1446055 1676440 2095550 2179372 2224700 2313688 2724215 2780875 2892110 4191100 4358744 4449400 5238875 5448430 5561750 5784220 7230275 8382200 10477750 10896860 11123500 11568440 13621075 14460550 20955500 21793720 22247000 27242150 28921100 36151375 41911000 54484300 57842200 68105375 72302750 108968600 136210750 144605500 272421500 289211000 544843000 932394017 1864788034 3729576068 4661970085 7459152136 9323940170 12121122221 18647880340 23309850425 24242244442 37295760680 46619700850 48484488884 60605611105 93239401700 96968977768 116549252125 121211222210 186478803400 233098504250 242422444420 303028055525 466197008500 484844888840 606056111050 932394017000 1212112222100 1515140277625 2424224444200 3030280555250 6060561110500 12121122221000