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12265856221 = 101701317317
BaseRepresentation
bin10110110110001101…
…00001110011011101
31011122211101001112011
423123012201303131
5200110024344341
65345043511221
7612650025523
oct133306416335
934584331464
1012265856221
115224835363
122463988511
1312062694b8
14845064313
154bbc87b81
hex2db1a1cdd

12265856221 has 8 divisors (see below), whose sum is σ = 12389782104. Its totient is φ = 12141979200.

The previous prime is 12265856179. The next prime is 12265856257.

12265856221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9415791225 + 2850064996 = 97035^2 + 53386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12265856221 - 219 = 12265331933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265856021) 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 7 ways as a sum of consecutive naturals, for example, 699655 + ... + 716971.

It is an arithmetic number, because the mean of its divisors is an integer number (1548722763).

Almost surely, 212265856221 is an apocalyptic number.

It is an amenable number.

12265856221 is a deficient number, since it is larger than the sum of its proper divisors (123925883).

12265856221 is a wasteful number, since it uses less digits than its factorization.

12265856221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24431.

The product of its digits is 115200, while the sum is 40.

The spelling of 12265856221 in words is "twelve billion, two hundred sixty-five million, eight hundred fifty-six thousand, two hundred twenty-one".

Divisors: 1 101 7013 17317 708313 1749017 121444121 12265856221