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12221100221211 = 327239811655723
BaseRepresentation
bin1011000111010111001001…
…0101100110001100011011
31121021022210111011002022100
42301311302111212030123
53100212303124034321
641554143531054443
72400642153620310
oct261656225461433
947238714132270
1012221100221211
113991a37520552
1214546458a1423
136a85a2313c4b
1430370c140d07
15162d739dc326
hexb1d7256631b

12221100221211 has 24 divisors (see below), whose sum is σ = 20258926871040. Its totient is φ = 6954266226096.

The previous prime is 12221100221207. The next prime is 12221100221221. The reversal of 12221100221211 is 11212200112221.

12221100221211 is a `hidden beast` number, since 1 + 2 + 221 + 10 + 0 + 221 + 211 = 666.

It is not a de Polignac number, because 12221100221211 - 22 = 12221100221207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221100221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405812805 + ... + 405842918.

It is an arithmetic number, because the mean of its divisors is an integer number (844121952960).

Almost surely, 212221100221211 is an apocalyptic number.

12221100221211 is a deficient number, since it is larger than the sum of its proper divisors (8037826649829).

12221100221211 is a wasteful number, since it uses less digits than its factorization.

12221100221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811655975 (or 811655972 counting only the distinct ones).

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

Adding to 12221100221211 its reverse (11212200112221), we get a palindrome (23433300333432).

The spelling of 12221100221211 in words is "twelve trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 239 717 1673 2151 5019 15057 811655723 2434967169 5681590061 7304901507 17044770183 51134310549 193985717797 581957153391 1357900024579 1745871460173 4073700073737 12221100221211