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12241206 = 234194197
BaseRepresentation
bin101110101100…
…100100110110
3212000220210000
4232230210312
511113204311
61114212130
7206022435
oct56544466
925026700
1012241206
116a00aaa
124124046
1326c7a23
1418a911c
15111c056
hexbac936

12241206 has 80 divisors (see below), whose sum is σ = 29882160. Its totient is φ = 3732480.

The previous prime is 12241183. The next prime is 12241213. The reversal of 12241206 is 60214221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126150 + ... + 126246.

It is an arithmetic number, because the mean of its divisors is an integer number (373527).

Almost surely, 212241206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941080).

12241206 is an abundant number, since it is smaller than the sum of its proper divisors (17640954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12241206 is a wasteful number, since it uses less digits than its factorization.

12241206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12241206 is about 3498.7434887399. The cubic root of 12241206 is about 230.4666392525.

Adding to 12241206 its reverse (60214221), we get a palindrome (72455427).

It can be divided in two parts, 122 and 41206, that added together give a triangular number (41328 = T287).

The spelling of 12241206 in words is "twelve million, two hundred forty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 97 114 123 162 171 194 246 291 342 369 513 582 738 779 873 1026 1107 1539 1558 1746 1843 2214 2337 2619 3078 3321 3686 3977 4674 5238 5529 6642 7011 7857 7954 11058 11931 14022 15714 16587 21033 23862 33174 35793 42066 49761 63099 71586 75563 99522 107379 126198 149283 151126 214758 226689 298566 322137 453378 644274 680067 1360134 2040201 4080402 6120603 12241206