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12412224 = 263311653
BaseRepresentation
bin101111010110…
…010101000000
3212100121101000
4233112111000
511134142344
61122012000
7210334146
oct57262500
925317330
1012412224
117008540
1241a7000
132757816
141911596
151152a69
hexbd6540

12412224 has 112 divisors (see below), whose sum is σ = 39867840. Its totient is φ = 3755520.

The previous prime is 12412199. The next prime is 12412237. The reversal of 12412224 is 42221421.

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 a junction number, because it is equal to n+sod(n) for n = 12412197 and 12412206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18682 + ... + 19334.

Almost surely, 212412224 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 12412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933920).

12412224 is an abundant number, since it is smaller than the sum of its proper divisors (27455616).

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

12412224 is a wasteful number, since it uses less digits than its factorization.

12412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

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

The square root of 12412224 is about 3523.0986361440. The cubic root of 12412224 is about 231.5349383676.

Adding to 12412224 its reverse (42221421), we get a palindrome (54633645).

The spelling of 12412224 in words is "twelve million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 653 704 792 864 1056 1188 1306 1584 1728 1959 2112 2376 2612 3168 3918 4752 5224 5877 6336 7183 7836 9504 10448 11754 14366 15672 17631 19008 20896 21549 23508 28732 31344 35262 41792 43098 47016 57464 62688 64647 70524 86196 94032 114928 125376 129294 141048 172392 188064 193941 229856 258588 282096 344784 376128 387882 459712 517176 564192 689568 775764 1034352 1128384 1379136 1551528 2068704 3103056 4137408 6206112 12412224