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12221121100221 = 3311229179688017
BaseRepresentation
bin1011000111010111001110…
…0101001111100110111101
31121021022211221102211221000
42301311303211033212331
53100212324000201341
641554145554400513
72400642526240125
oct261656345174675
947238757384830
1012221121100221
113991a48291230
121454650890139
136a85a67444a7
14303710c17c85
15162d757638b6
hexb1d7394f9bd

12221121100221 has 32 divisors (see below), whose sum is σ = 19837557187200. Its totient is φ = 7374396176640.

The previous prime is 12221121100183. The next prime is 12221121100231. The reversal of 12221121100221 is 12200112112221.

12221121100221 is a `hidden beast` number, since 1 + 2 + 221 + 121 + 100 + 221 = 666.

It is not a de Polignac number, because 12221121100221 - 29 = 12221121099709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221121100194 and 12221121100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221121100231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89775996 + ... + 89912021.

It is an arithmetic number, because the mean of its divisors is an integer number (619923662100).

Almost surely, 212221121100221 is an apocalyptic number.

12221121100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221121100221 is a deficient number, since it is larger than the sum of its proper divisors (7616436086979).

12221121100221 is a wasteful number, since it uses less digits than its factorization.

12221121100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179688266 (or 179688260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221121100221 its reverse (12200112112221), we get a palindrome (24421233212442).

The spelling of 12221121100221 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 229 297 687 2061 2519 6183 7557 22671 68013 179688017 539064051 1617192153 1976568187 4851576459 5929704561 17789113683 41148555893 53367341049 123445667679 370337003037 452634114823 1111011009111 1357902344469 4073707033407 12221121100221