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12242312424 = 23323111348539
BaseRepresentation
bin10110110011011001…
…01101110011101000
31011121012001220111200
423121230231303220
5200033012444144
65342443124200
7612242636646
oct133154556350
934535056450
1012242312424
115212514581
122457b13660
131201415064
14841c96196
154b9b86c69
hex2d9b2dce8

12242312424 has 96 divisors (see below), whose sum is σ = 34529414400. Its totient is φ = 3914104320.

The previous prime is 12242312417. The next prime is 12242312441. The reversal of 12242312424 is 42421324221.

It is a happy number.

12242312424 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 231 + 2 + 424 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227947 + ... + 276485.

It is an arithmetic number, because the mean of its divisors is an integer number (359681400).

Almost surely, 212242312424 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 12242312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264707200).

12242312424 is an abundant number, since it is smaller than the sum of its proper divisors (22287101976).

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

12242312424 is a wasteful number, since it uses less digits than its factorization.

12242312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48695 (or 48688 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12242312424 its reverse (42421324221), we get a palindrome (54663636645).

The spelling of 12242312424 in words is "twelve billion, two hundred forty-two million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 113 124 186 226 248 279 339 372 452 558 678 744 904 1017 1116 1356 2034 2232 2712 3503 4068 7006 8136 10509 14012 21018 28024 31527 42036 48539 63054 84072 97078 126108 145617 194156 252216 291234 388312 436851 582468 873702 1164936 1504709 1747404 3009418 3494808 4514127 5484907 6018836 9028254 10969814 12037672 13542381 16454721 18056508 21939628 27084762 32909442 36113016 43879256 49364163 54169524 65818884 98728326 108339048 131637768 170032117 197456652 340064234 394913304 510096351 680128468 1020192702 1360256936 1530289053 2040385404 3060578106 4080770808 6121156212 12242312424