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12201228 = 22321329231
BaseRepresentation
bin101110100010…
…110100001100
3211221212221100
4232202310030
511110414403
61113303100
7205465044
oct56426414
924855840
1012201228
116983a66
124104a90
1326b2780
141898724
1511102a3
hexba2d0c

12201228 has 108 divisors (see below), whose sum is σ = 35508928. Its totient is φ = 3507840.

The previous prime is 12201193. The next prime is 12201229. The reversal of 12201228 is 82210221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12201228.

It is not an unprimeable number, because it can be changed into a prime (12201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 393573 + ... + 393603.

Almost surely, 212201228 is an apocalyptic number.

12201228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754464).

12201228 is an abundant number, since it is smaller than the sum of its proper divisors (23307700).

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

12201228 is a wasteful number, since it uses less digits than its factorization.

12201228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

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

The square root of 12201228 is about 3493.0256225799. The cubic root of 12201228 is about 230.2154754475.

Adding to 12201228 its reverse (82210221), we get a palindrome (94411449).

The spelling of 12201228 in words is "twelve million, two hundred one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 31 36 39 52 58 62 78 87 93 116 117 124 156 174 186 234 261 279 348 372 377 403 468 522 558 754 806 841 899 1044 1116 1131 1209 1508 1612 1682 1798 2262 2418 2523 2697 3364 3393 3596 3627 4524 4836 5046 5394 6786 7254 7569 8091 10092 10788 10933 11687 13572 14508 15138 16182 21866 23374 26071 30276 32364 32799 35061 43732 46748 52142 65598 70122 78213 98397 104284 105183 131196 140244 156426 196794 210366 234639 312852 338923 393588 420732 469278 677846 938556 1016769 1355692 2033538 3050307 4067076 6100614 12201228