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12221122221 = 3271119928163
BaseRepresentation
bin10110110000110111…
…11000011010101101
31011112201012100000100
423120123320122231
5200012101402341
65340405021313
7611564552640
oct133033703255
934481170010
1012221122221
115201561010
1224509b4839
1311c9c05c89
1483d13ba57
154b7d9d3b6
hex2d86f86ad

12221122221 has 48 divisors (see below), whose sum is σ = 23166973440. Its totient is φ = 6014489760.

The previous prime is 12221122217. The next prime is 12221122229. The reversal of 12221122221 is 12222112221.

It is a happy number.

It is not a de Polignac number, because 12221122221 - 22 = 12221122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221122194 and 12221122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450915 + ... + 477248.

It is an arithmetic number, because the mean of its divisors is an integer number (482645280).

Almost surely, 212221122221 is an apocalyptic number.

12221122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221122221 is a deficient number, since it is larger than the sum of its proper divisors (10945851219).

12221122221 is a wasteful number, since it uses less digits than its factorization.

12221122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928206 (or 928203 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12221122221 its reverse (12222112221), we get a palindrome (24443234442).

The spelling of 12221122221 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 13167 928163 2784489 6497141 8353467 10209793 17635097 19491423 30629379 52905291 58474269 71468551 91888137 123445679 158715873 193986067 214405653 370337037 581958201 643216959 1111011111 1357902469 1745874603 4073707407 12221122221