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12066561311112 = 23 ⋅ 32 ⋅ 72 ⋅ 11 ⋅ 199 ⋅ 443 ⋅ 3527
BaseRepresentation
bin1010111110010111011100…
……0110011100000110001000
31120201112220101221001022100
42233211313012130012020
53040144304143423422
641355145101553400
72353531431560100
oct257456706340610
946645811831270
1012066561311112
113932444316030
12142a6b6b75860
13696b445b6589
142da04ba36200
1515dd2b6d57ac
hexaf97719c188

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(max 15 digits)

12066561311112 has 576 divisors, whose sum is σ = 41786140032000. Its totient is φ = 3110500673280.

The previous prime is 12066561311099. The next prime is 12066561311113. The reversal of 12066561311112 is 21111316566021.

12066561311112 is a `hidden beast` number, since 1 + 2 + 0 + 66 + 561 + 31 + 1 + 1 + 1 + 2 = 666.

12066561311112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12066561311113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3421195093 + ... + 3421198619.

It is an arithmetic number, because the mean of its divisors is an integer number (72545382000).

Almost surely, 212066561311112 is an apocalyptic number.

12066561311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066561311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20893070016000).

12066561311112 is an abundant number, since it is smaller than the sum of its proper divisors (29719578720888).

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

12066561311112 is a wasteful number, since it uses less digits than its factorization.

12066561311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 12066561311112 its reverse (21111316566021), we get a palindrome (33177877877133).

The spelling of 12066561311112 in words is "twelve trillion, sixty-six billion, five hundred sixty-one million, three hundred eleven thousand, one hundred twelve".