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12242412 = 223271337101
BaseRepresentation
bin101110101100…
…110111101100
3212000222102200
4232230313230
511113224122
61114221500
7206026110
oct56546754
925028380
1012242412
116a019a6
124124890
1326c8440
1418a9740
15111c5ac
hexbacdec

12242412 has 144 divisors (see below), whose sum is σ = 39504192. Its totient is φ = 3110400.

The previous prime is 12242359. The next prime is 12242423. The reversal of 12242412 is 21424221.

12242412 is a `hidden beast` number, since 12 + 242 + 412 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121162 + ... + 121262.

Almost surely, 212242412 is an apocalyptic number.

12242412 is a gapful number since it is divisible by the number (12) 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 12242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752096).

12242412 is an abundant number, since it is smaller than the sum of its proper divisors (27261780).

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

12242412 is a wasteful number, since it uses less digits than its factorization.

12242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12242412 is about 3498.9158320828. The cubic root of 12242412 is about 230.4742075057.

Adding to 12242412 its reverse (21424221), we get a palindrome (33666633).

The spelling of 12242412 in words is "twelve million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 101 111 117 126 148 156 182 202 222 234 252 259 273 303 333 364 404 444 468 481 518 546 606 666 707 777 819 909 962 1036 1092 1212 1313 1332 1414 1443 1554 1638 1818 1924 2121 2331 2626 2828 2886 3108 3276 3367 3636 3737 3939 4242 4329 4662 5252 5772 6363 6734 7474 7878 8484 8658 9191 9324 10101 11211 11817 12726 13468 14948 15756 17316 18382 20202 22422 23634 25452 26159 27573 30303 33633 36764 40404 44844 47268 48581 52318 55146 60606 67266 78477 82719 97162 104636 110292 121212 134532 145743 156954 165438 194324 235431 291486 313908 330876 340067 437229 470862 582972 680134 874458 941724 1020201 1360268 1748916 2040402 3060603 4080804 6121206 12242412