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12211212221000 = 235313939324017
BaseRepresentation
bin1011000110110010010011…
…1101110111101001001000
31121020101021101010122000022
42301230210331313221020
53100032030312033000
641545430425000012
72400142136166332
oct261544475675110
947211241118008
1012211212221000
113988822a53651
121452746323008
136a76878ac150
14303050c14452
151629958a4585
hexb1b24f77a48

12211212221000 has 64 divisors (see below), whose sum is σ = 30772254829680. Its totient is φ = 4508755276800.

The previous prime is 12211212220939. The next prime is 12211212221003. The reversal of 12211212221000 is 12221211221.

It can be written as a sum of positive squares in 8 ways, for example, as 1233374609476 + 10977837611524 = 1110574^2 + 3313282^2 .

It is a super-2 number, since 2×122112122210002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211212221000.

It is not an unprimeable number, because it can be changed into a prime (12211212221003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 469649009 + ... + 469675008.

Almost surely, 212211212221000 is an apocalyptic number.

12211212221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211212221000 is an abundant number, since it is smaller than the sum of its proper divisors (18561042608680).

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

12211212221000 is a wasteful number, since it uses less digits than its factorization.

12211212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939324051 (or 939324037 counting only the distinct ones).

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

Adding to 12211212221000 its reverse (12221211221), we get a palindrome (12223433432221).

The spelling of 12211212221000 in words is "twelve trillion, two hundred eleven billion, two hundred twelve 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 939324017 1878648034 3757296068 4696620085 7514592136 9393240170 12211212221 18786480340 23483100425 24422424442 37572960680 46966200850 48844848884 61056061105 93932401700 97689697768 117415502125 122112122210 187864803400 234831004250 244224244420 305280305525 469662008500 488448488840 610560611050 939324017000 1221121222100 1526401527625 2442242444200 3052803055250 6105606110500 12211212221000