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12001332105 = 325725442781
BaseRepresentation
bin10110010110101010…
…11100101110001001
31010222101121211122200
423023111130232021
5144034320111410
65302514110413
7603255432300
oct131325345611
933871554580
1012001332105
1150a9491494
1223ab27b409
13119350cc59
1481bc87437
154a39353c0
hex2cb55cb89

12001332105 has 36 divisors (see below), whose sum is σ = 24198608772. Its totient is φ = 5486322240.

The previous prime is 12001332071. The next prime is 12001332113. The reversal of 12001332105 is 50123310021.

It can be written as a sum of positive squares in 2 ways, for example, as 6975089289 + 5026242816 = 83517^2 + 70896^2 .

It is not a de Polignac number, because 12001332105 - 26 = 12001332041 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2719186 + ... + 2723595.

It is an arithmetic number, because the mean of its divisors is an integer number (672183577).

Almost surely, 212001332105 is an apocalyptic number.

12001332105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12001332105 is an abundant number, since it is smaller than the sum of its proper divisors (12197276667).

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

12001332105 is a wasteful number, since it uses less digits than its factorization.

12001332105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442806 (or 5442796 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12001332105 its reverse (50123310021), we get a palindrome (62124642126).

The spelling of 12001332105 in words is "twelve billion, one million, three hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5442781 16328343 27213905 38099467 48985029 81641715 114298401 190497335 244925145 266696269 342895203 571492005 800088807 1333481345 1714476015 2400266421 4000444035 12001332105