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12001322011 = 73412813037
BaseRepresentation
bin10110010110101010…
…11010010000011011
31010222101121022210211
423023111122100123
5144034314301021
65302513551551
7603255361000
oct131325322033
933871538724
1012001322011
1150a9484948
1223ab2755b7
131193508493
1481bc838a7
154a39323e1
hex2cb55a41b

12001322011 has 32 divisors (see below), whose sum is σ = 14392828800. Its totient is φ = 9996940800.

The previous prime is 12001321999. The next prime is 12001322017. The reversal of 12001322011 is 11022310021.

12001322011 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 12001322011 - 27 = 12001321883 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001321982 and 12001322000.

It is not an unprimeable number, because it can be changed into a prime (12001322017) by changing a digit.

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, 3950185 + ... + 3953221.

It is an arithmetic number, because the mean of its divisors is an integer number (449775900).

Almost surely, 212001322011 is an apocalyptic number.

12001322011 is a deficient number, since it is larger than the sum of its proper divisors (2391506789).

12001322011 is an equidigital number, since it uses as much as digits as its factorization.

12001322011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12001322011 its reverse (11022310021), we get a palindrome (23023632032).

The spelling of 12001322011 in words is "twelve billion, one million, three hundred twenty-two thousand, eleven".

Divisors: 1 7 41 49 281 287 343 1967 2009 3037 11521 13769 14063 21259 80647 96383 124517 148813 564529 853397 871619 1041691 3951703 5973779 6101333 34989277 41816453 42709331 244924939 292715171 1714474573 12001322011