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12000322321 = 131773743837
BaseRepresentation
bin10110010110100011…
…00110001100010001
31010222022201112111021
423023101212030101
5144034040303241
65302440315441
7603244025311
oct131321461421
933868645437
1012000322321
1150a8961859
1223aaa72b81
131193248450
1481baa3441
154a37d60d1
hex2cb466311

12000322321 has 16 divisors (see below), whose sum is σ = 13871091024. Its totient is φ = 10282788864.

The previous prime is 12000322319. The next prime is 12000322333. The reversal of 12000322321 is 12322300021.

It can be written as a sum of positive squares in 8 ways, for example, as 1176833025 + 10823489296 = 34305^2 + 104036^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000322321 - 21 = 12000322319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000322295 and 12000322304.

It is not an unprimeable number, because it can be changed into a prime (12000322361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355786 + ... + 388051.

It is an arithmetic number, because the mean of its divisors is an integer number (866943189).

Almost surely, 212000322321 is an apocalyptic number.

It is an amenable number.

12000322321 is a deficient number, since it is larger than the sum of its proper divisors (1870768703).

12000322321 is a wasteful number, since it uses less digits than its factorization.

12000322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743940.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12000322321 its reverse (12322300021), we get a palindrome (24322622342).

The spelling of 12000322321 in words is "twelve billion, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 13 17 73 221 949 1241 16133 743837 9669881 12645229 54300101 164387977 705901313 923101717 12000322321