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12105321217 = 11341221827
BaseRepresentation
bin10110100011000100…
…01000101100000001
31011020122022000220021
423101202020230001
5144242430234332
65321111013441
7605660350453
oct132142105401
934218260807
1012105321217
115152158000
12241a06a281
1311abc1c382
1482b9d62d3
154acb26c97
hex2d1888b01

12105321217 has 16 divisors (see below), whose sum is σ = 13639760064. Its totient is φ = 10736378400.

The previous prime is 12105321197. The next prime is 12105321251. The reversal of 12105321217 is 71212350121.

It is not a de Polignac number, because 12105321217 - 223 = 12096932609 is a prime.

It is a super-2 number, since 2×121053212172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12105321191 and 12105321200.

It is not an unprimeable number, because it can be changed into a prime (12105321617) 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, 56343 + ... + 165484.

It is an arithmetic number, because the mean of its divisors is an integer number (852485004).

Almost surely, 212105321217 is an apocalyptic number.

It is an amenable number.

12105321217 is a deficient number, since it is larger than the sum of its proper divisors (1534438847).

12105321217 is an equidigital number, since it uses as much as digits as its factorization.

12105321217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221901 (or 221879 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 12105321217 its reverse (71212350121), we get a palindrome (83317671338).

The spelling of 12105321217 in words is "twelve billion, one hundred five million, three hundred twenty-one thousand, two hundred seventeen".

Divisors: 1 11 41 121 451 1331 4961 54571 221827 2440097 9094907 26841067 100043977 295251737 1100483747 12105321217