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12224011042221 = 3111312827668527
BaseRepresentation
bin1011000111100001111111…
…0101011111110110101101
31121021121022100101010001220
42301320133311133312231
53100234233311322341
641555344432053553
72401104250320036
oct261703765376655
947247270333056
1012224011042221
1139931a0610450
1214551186942b9
136a89473a3144
14303906971a8d
15162e94317a66
hexb1e1fd5fdad

12224011042221 has 16 divisors (see below), whose sum is σ = 17916107793408. Its totient is φ = 7351938167600.

The previous prime is 12224011042219. The next prime is 12224011042247.

12224011042221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12224011042221 - 21 = 12224011042219 is a prime.

It is a super-2 number, since 2×122240110422212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12224011042191 and 12224011042200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224011042421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413829941 + ... + 1413838586.

It is an arithmetic number, because the mean of its divisors is an integer number (1119756737088).

Almost surely, 212224011042221 is an apocalyptic number.

12224011042221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12224011042221 is a deficient number, since it is larger than the sum of its proper divisors (5692096751187).

12224011042221 is a wasteful number, since it uses less digits than its factorization.

12224011042221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827668672.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1222401 and 1042221, that added together give a palindrome (2264622).

The spelling of 12224011042221 in words is "twelve trillion, two hundred twenty-four billion, eleven million, forty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 131 393 1441 4323 2827668527 8483005581 31104353797 93313061391 370424577037 1111273731111 4074670347407 12224011042221