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12024680708241 = 323736110152277
BaseRepresentation
bin1010111011111011011011…
…0100100111100010010001
31120120112210200011222122200
42232332312310213202101
53034003021230130431
641324021223153413
72350516540405065
oct256766664474221
946515720158580
1012024680708241
113916702860243
1214225692a5869
13692bcba32366
142d7dd77adaa5
1515cbc9a72ee6
hexaefb6d27891

12024680708241 has 12 divisors (see below), whose sum is σ = 17838415225332. Its totient is φ = 7799792891616.

The previous prime is 12024680708231. The next prime is 12024680708251. The reversal of 12024680708241 is 14280708642021.

12024680708241 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 468 + 0 + 70 + 82 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (12024680708231) and next prime (12024680708251).

It can be written as a sum of positive squares in 2 ways, for example, as 8733798090000 + 3290882618241 = 2955300^2 + 1814079^2 .

It is not a de Polignac number, because 12024680708241 - 26 = 12024680708177 is a prime.

It is a super-2 number, since 2×120246807082412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12024680708221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18055075806 + ... + 18055076471.

It is an arithmetic number, because the mean of its divisors is an integer number (1486534602111).

Almost surely, 212024680708241 is an apocalyptic number.

It is an amenable number.

12024680708241 is a deficient number, since it is larger than the sum of its proper divisors (5813734517091).

12024680708241 is a wasteful number, since it uses less digits than its factorization.

12024680708241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36110152320 (or 36110152317 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12024680708241 in words is "twelve trillion, twenty-four billion, six hundred eighty million, seven hundred eight thousand, two hundred forty-one".

Divisors: 1 3 9 37 111 333 36110152277 108330456831 324991370493 1336075634249 4008226902747 12024680708241