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12424430241312 = 2539911193109469
BaseRepresentation
bin1011010011001100100111…
…0000000100011000100000
31121222202121220110022121120
42310303021300010120200
53112030213120210222
642231412055052240
72421430651360605
oct264631160043040
947882556408546
1012424430241312
113a60197a70081
121487b30671080
136c18074c65cb
1430d4ba5b46ac
151682c449415c
hexb4cc9c04620

12424430241312 has 96 divisors (see below), whose sum is σ = 32674703685120. Its totient is φ = 4133791918080.

The previous prime is 12424430241287. The next prime is 12424430241313. The reversal of 12424430241312 is 21314203442421.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12424430241313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113442514 + ... + 113551982.

It is an arithmetic number, because the mean of its divisors is an integer number (340361496720).

Almost surely, 212424430241312 is an apocalyptic number.

12424430241312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12424430241312 is an abundant number, since it is smaller than the sum of its proper divisors (20250273443808).

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

12424430241312 is a wasteful number, since it uses less digits than its factorization.

12424430241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111666 (or 111658 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12424430241312 its reverse (21314203442421), we get a palindrome (33738633683733).

The spelling of 12424430241312 in words is "twelve trillion, four hundred twenty-four billion, four hundred thirty million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 991 1193 1982 2386 2973 3579 3964 4772 5946 7158 7928 9544 11892 14316 15856 19088 23784 28632 31712 38176 47568 57264 95136 109469 114528 218938 328407 437876 656814 875752 1182263 1313628 1751504 2364526 2627256 3503008 3546789 4729052 5254512 7093578 9458104 10509024 14187156 18916208 28374312 37832416 56748624 108483779 113497248 130596517 216967558 261193034 325451337 391789551 433935116 522386068 650902674 783579102 867870232 1044772136 1301805348 1567158204 1735740464 2089544272 2603610696 3134316408 3471480928 4179088544 5207221392 6268632816 10414442784 12537265632 129421148347 258842296694 388263445041 517684593388 776526890082 1035369186776 1553053780164 2070738373552 3106107560328 4141476747104 6212215120656 12424430241312