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12120667565 = 5171091308221
BaseRepresentation
bin10110100100111001…
…01011010110101101
31011021201011201010112
423102130223112231
5144310342330230
65322415545405
7606234655136
oct132234532655
934251151115
1012120667565
11515a889a36
12242322b265
1311b2163556
1482da6cc8d
154ae158d95
hex2d272b5ad

12120667565 has 16 divisors (see below), whose sum is σ = 15541677360. Its totient is φ = 9042416640.

The previous prime is 12120667553. The next prime is 12120667567. The reversal of 12120667565 is 56576602121.

It can be written as a sum of positive squares in 8 ways, for example, as 198916 + 12120468649 = 446^2 + 110093^2 .

It is not a de Polignac number, because 12120667565 - 26 = 12120667501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120667567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644846 + ... + 663375.

It is an arithmetic number, because the mean of its divisors is an integer number (971354835).

Almost surely, 212120667565 is an apocalyptic number.

It is an amenable number.

12120667565 is a deficient number, since it is larger than the sum of its proper divisors (3421009795).

12120667565 is a wasteful number, since it uses less digits than its factorization.

12120667565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308352.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 12120667565 in words is "twelve billion, one hundred twenty million, six hundred sixty-seven thousand, five hundred sixty-five".

Divisors: 1 5 17 85 109 545 1853 9265 1308221 6541105 22239757 111198785 142596089 712980445 2424133513 12120667565