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12114124003242 = 2327356411634333
BaseRepresentation
bin1011000001001000101000…
…0011101101011110101010
31120220002200010112011002100
42300102022003231132222
53041434211221100432
641433052435314230
72360134200023022
oct260221203553652
946802603464070
1012114124003242
113950631204658
12143796b74b976
1369b4844072a1
142dc480794a82
151601b20d507c
hexb048a0ed7aa

12114124003242 has 48 divisors (see below), whose sum is σ = 26611553267208. Its totient is φ = 3982017231360.

The previous prime is 12114124003229. The next prime is 12114124003277. The reversal of 12114124003242 is 24230042141121.

12114124003242 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 12 + 400 + 3 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12075201053721 + 38922949521 = 3474939^2 + 197289^2 .

It is a super-3 number, since 3×121141240032423 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6595108 + ... + 8229440.

Almost surely, 212114124003242 is an apocalyptic number.

12114124003242 is an abundant number, since it is smaller than the sum of its proper divisors (14497429263966).

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

12114124003242 is a wasteful number, since it uses less digits than its factorization.

12114124003242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640055 (or 1640052 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12114124003242 its reverse (24230042141121), we get a palindrome (36344166144363).

The spelling of 12114124003242 in words is "twelve trillion, one hundred fourteen billion, one hundred twenty-four million, three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 5641 11282 16923 33846 50769 101538 411793 823586 1235379 1634333 2470758 3268666 3706137 4902999 7412274 9805998 14708997 29417994 119306309 238612618 357918927 715837854 1073756781 2147513562 9219272453 18438544906 27657817359 55315634718 82973452077 165946904154 673006889069 1346013778138 2019020667207 4038041334414 6057062001621 12114124003242