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12424412 = 227111329107
BaseRepresentation
bin101111011001…
…010011011100
3212101020002102
4233121103130
511140040122
61122144232
7210414530
oct57312334
925336072
1012424412
117016710
1241b2078
132760230
141915bc0
151156492
hexbd94dc

12424412 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4273920.

The previous prime is 12424387. The next prime is 12424427. The reversal of 12424412 is 21442421.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116063 + ... + 116169.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 212424412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12424412 is an abundant number, since it is smaller than the sum of its proper divisors (18057508).

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

12424412 is a wasteful number, since it uses less digits than its factorization.

12424412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 12424412 is about 3524.8279390631. The cubic root of 12424412 is about 231.6106976802.

Adding to 12424412 its reverse (21442421), we get a palindrome (33866833).

Subtracting 12424412 from its reverse (21442421), we obtain a square (9018009 = 30032).

It can be divided in two parts, 12 and 424412, that added together give a palindrome (424424).

The spelling of 12424412 in words is "twelve million, four hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 107 116 143 154 182 203 214 286 308 319 364 377 406 428 572 638 749 754 812 1001 1177 1276 1391 1498 1508 2002 2233 2354 2639 2782 2996 3103 4004 4147 4466 4708 5278 5564 6206 8239 8294 8932 9737 10556 12412 15301 16478 16588 19474 21721 29029 30602 32956 34133 38948 40339 43442 58058 61204 68266 80678 86884 107107 116116 136532 161356 214214 238931 282373 428428 443729 477862 564746 887458 955724 1129492 1774916 3106103 6212206 12424412