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12124242131244 = 22323743444113313
BaseRepresentation
bin1011000001101110010100…
…1001010011100100101100
31120221001210021120022100220
42300123211021103210230
53042120421441144434
641441444442051340
72360643010501335
oct260334511234454
946831707508326
1012124242131244
113954953671a11
1214399141a9b50
1369c407714589
142dcb604a728c
151605a5528d49
hexb06e525392c

12124242131244 has 96 divisors (see below), whose sum is σ = 29568501494784. Its totient is φ = 3859338362880.

The previous prime is 12124242131179. The next prime is 12124242131269. The reversal of 12124242131244 is 44213124242121.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 910700332 + ... + 910713644.

It is an arithmetic number, because the mean of its divisors is an integer number (308005223904).

Almost surely, 212124242131244 is an apocalyptic number.

It is an amenable number.

12124242131244 is an abundant number, since it is smaller than the sum of its proper divisors (17444259363540).

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

12124242131244 is a wasteful number, since it uses less digits than its factorization.

12124242131244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18527 (or 18525 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 12124242131244 its reverse (44213124242121), we get a palindrome (56337366373365).

The spelling of 12124242131244 in words is "twelve trillion, one hundred twenty-four billion, two hundred forty-two million, one hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 743 1486 2229 2972 4441 4458 8882 8916 13313 13323 17089 17764 26626 26646 34178 39939 51267 53252 53292 68356 79878 102143 102534 159756 204286 205068 306199 306429 408572 612398 612858 918597 1224796 1225716 1837194 3299663 3674388 6599326 9891559 9898989 13198652 19783118 19797978 29674677 39566236 39595956 59123033 59349354 75892249 118246066 118698708 151784498 177369099 227505857 227676747 236492132 303568996 354738198 455011714 455353494 682517571 709476396 910023428 910706988 1359829759 1365035142 2719659518 2730070284 4079489277 5439319036 8158978554 16317957108 43928413519 87856827038 131785240557 175713654076 263570481114 527140962228 1010353510937 2020707021874 3031060532811 4041414043748 6062121065622 12124242131244