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12001294085 = 5112379120091
BaseRepresentation
bin10110010110101010…
…10011011100000101
31010222101112220111112
423023111103130011
5144034312402320
65302513214405
7603255213404
oct131325233405
933871486445
1012001294085
1150a9465970
1223ab261405
1311934c8861
1481bc7763b
154a3928ec5
hex2cb553705

12001294085 has 32 divisors (see below), whose sum is σ = 16601518080. Its totient is φ = 8242977600.

The previous prime is 12001294051. The next prime is 12001294091. The reversal of 12001294085 is 58049210021.

12001294085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001294085 - 222 = 11997099781 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39890 + ... + 159980.

It is an arithmetic number, because the mean of its divisors is an integer number (518797440).

Almost surely, 212001294085 is an apocalyptic number.

It is an amenable number.

12001294085 is a deficient number, since it is larger than the sum of its proper divisors (4600223995).

12001294085 is a wasteful number, since it uses less digits than its factorization.

12001294085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120209.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 12001294085 in words is "twelve billion, one million, two hundred ninety-four thousand, eighty-five".

Divisors: 1 5 11 23 55 79 115 253 395 869 1265 1817 4345 9085 19987 99935 120091 600455 1321001 2762093 6605005 9487189 13810465 30383023 47435945 104359079 151915115 218205347 521795395 1091026735 2400258817 12001294085