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12221222212221 = 31137101499198599
BaseRepresentation
bin1011000111010111100110…
…0110111101001001111101
31121021100002222200212111220
42301311321212331021331
53100213030341242341
641554204005503553
72400645164543241
oct261657146751175
947240088625456
1012221222212221
113991a9a372170
12145467a711bb9
136a85c1687189
14303720418421
15162d7e587a66
hexb1d799bd27d

12221222212221 has 64 divisors (see below), whose sum is σ = 18474566400000. Its totient is φ = 7120929888000.

The previous prime is 12221222212217. The next prime is 12221222212231.

It is a happy number.

12221222212221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12221222212221 - 22 = 12221222212217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221222212191 and 12221222212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221222212231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61437880 + ... + 61636478.

It is an arithmetic number, because the mean of its divisors is an integer number (288665100000).

Almost surely, 212221222212221 is an apocalyptic number.

12221222212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221222212221 is a deficient number, since it is larger than the sum of its proper divisors (6253344187779).

12221222212221 is a wasteful number, since it uses less digits than its factorization.

12221222212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199250.

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

It can be divided in two parts, 1222122 and 2212221, that added together give a palindrome (3434343).

The spelling of 12221222212221 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 101 111 303 407 499 1111 1221 1497 3333 3737 5489 11211 16467 18463 41107 50399 55389 123321 151197 198599 203093 554389 595797 609279 1663167 1864763 2184589 5594289 6553767 7348163 20058499 20512393 22044489 60175497 61537179 80829793 99100901 220643489 242489379 297302703 661930467 742164463 1090109911 2226493389 3270329733 3666733337 8163809093 10009191001 11000200011 24491427279 30027573003 40334066707 110101101011 121002200121 330303303033 370340067037 1111020201111 4073740737407 12221222212221