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12059424100240 = 2451156924084167
BaseRepresentation
bin1010111101111100110110…
…1100001000111110010000
31120200212111000000011120221
42233133031230020332100
53040040200032201430
641352004542442424
72353156525355116
oct257371554107620
946625430004527
1012059424100240
11392a411574950
121429244893414
13696277a3b98a
142d9971b9dab6
1515da5ed1657a
hexaf7cdb08f90

12059424100240 has 80 divisors (see below), whose sum is σ = 30640841896320. Its totient is φ = 4377538012160.

The previous prime is 12059424100211. The next prime is 12059424100271. The reversal of 12059424100240 is 4200142495021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12059424100196 and 12059424100205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11541364 + ... + 12542803.

It is an arithmetic number, because the mean of its divisors is an integer number (383010523704).

Almost surely, 212059424100240 is an apocalyptic number.

12059424100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12059424100240 is an abundant number, since it is smaller than the sum of its proper divisors (18581417796080).

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

12059424100240 is a wasteful number, since it uses less digits than its factorization.

12059424100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24084760 (or 24084754 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 12059424100240 its reverse (4200142495021), we get a palindrome (16259566595261).

The spelling of 12059424100240 in words is "twelve trillion, fifty-nine billion, four hundred twenty-four million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 569 880 1138 2276 2845 4552 5690 6259 9104 11380 12518 22760 25036 31295 45520 50072 62590 100144 125180 250360 500720 24084167 48168334 96336668 120420835 192673336 240841670 264925837 385346672 481683340 529851674 963366680 1059703348 1324629185 1926733360 2119406696 2649258370 4238813392 5298516740 10597033480 13703891023 21194066960 27407782046 54815564092 68519455115 109631128184 137038910230 150742801253 219262256368 274077820460 301485602506 548155640920 602971205012 753714006265 1096311281840 1205942410024 1507428012530 2411884820048 3014856025060 6029712050120 12059424100240