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12222102220000 = 25542272692093
BaseRepresentation
bin1011000111011010111000…
…0011111010110011100000
31121021102101022120220020121
42301312232003322303200
53100221331132020000
641554431203250024
72401006041514501
oct261665603726340
947242338526217
1012222102220000
11399240108a022
121454885379914
136a8701aa0b3a
143037a524cba8
15162dd1965b1a
hexb1dae0face0

12222102220000 has 120 divisors (see below), whose sum is σ = 30200675046696. Its totient is φ = 4867302336000.

The previous prime is 12222102219997. The next prime is 12222102220079. The reversal of 12222102220000 is 2220122221.

It is a super-2 number, since 2×122221022200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3193954 + ... + 5886046.

Almost surely, 212222102220000 is an apocalyptic number.

12222102220000 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 12222102220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100337523348).

12222102220000 is an abundant number, since it is smaller than the sum of its proper divisors (17978572826696).

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

12222102220000 is an equidigital number, since it uses as much as digits as its factorization.

12222102220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692350 (or 2692327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12222102220000 its reverse (2220122221), we get a palindrome (12224322342221).

It can be divided in two parts, 122 and 22102220000, that added together give a palindrome (22102220122).

The spelling of 12222102220000 in words is "twelve trillion, two hundred twenty-two billion, one hundred two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 454 500 625 800 908 1000 1135 1250 1816 2000 2270 2500 3632 4000 4540 5000 5675 7264 9080 10000 11350 18160 20000 22700 28375 36320 45400 56750 90800 113500 141875 181600 227000 283750 454000 567500 908000 1135000 2270000 2692093 4540000 5384186 10768372 13460465 21536744 26920930 43073488 53841860 67302325 86146976 107683720 134604650 215367440 269209300 336511625 430734880 538418600 611105111 673023250 1076837200 1222210222 1346046500 1682558125 2153674400 2444420444 2692093000 3055525555 3365116250 4888840888 5384186000 6111051110 6730232500 9777681776 10768372000 12222102220 13460465000 15277627775 19555363552 24444204440 26920930000 30555255550 48888408880 53841860000 61110511100 76388138875 97776817760 122221022200 152776277750 244442044400 305552555500 381940694375 488884088800 611105111000 763881388750 1222210222000 1527762777500 2444420444000 3055525555000 6111051110000 12222102220000