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12221200212221 = 7211138209212467
BaseRepresentation
bin1011000111010111100001…
…0011000010000011111101
31121021100001110022011012002
42301311320103002003331
53100213004223242341
641554201502152045
72400644506544300
oct261657023020375
947240043264162
1012221200212221
113991a88a06250
121454673282625
136a85b9c53620
1430371b52cb37
15162d7c68e29b
hexb1d784c20fd

12221200212221 has 48 divisors (see below), whose sum is σ = 16704013193280. Its totient is φ = 8789361477120.

The previous prime is 12221200212203. The next prime is 12221200212229.

12221200212221 is nontrivially palindromic in base 10.

12221200212221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221200212221 - 218 = 12221199950077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221200212193 and 12221200212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221200212229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57414230 + ... + 57626696.

It is an arithmetic number, because the mean of its divisors is an integer number (348000274860).

Almost surely, 212221200212221 is an apocalyptic number.

12221200212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221200212221 is a deficient number, since it is larger than the sum of its proper divisors (4482812981059).

12221200212221 is a wasteful number, since it uses less digits than its factorization.

12221200212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220714 (or 220707 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 12221200 and 212221, that added together give a palindrome (12433421).

The spelling of 12221200212221 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 8209 57463 90299 106717 212467 402241 632093 747019 1173887 1487269 2337137 2762071 4424651 5229133 8217209 10410883 16359959 19334497 30382781 57520463 114519713 135341479 212679467 1488756269 1744141603 12208991221 19185557633 22673840839 85462938547 134298903431 158716885873 249412249229 940092324017 1111018201111 1745885744603 12221200212221