Base | Representation |
---|---|
bin | 10110100011110010… |
… | …00001110001101101 |
3 | 1011021001120220201200 |
4 | 23101321001301231 |
5 | 144300444302341 |
6 | 5321443400113 |
7 | 606062353215 |
oct | 132171016155 |
9 | 34231526650 |
10 | 12111322221 |
11 | 5155586709 |
12 | 2420083039 |
13 | 11b024096b |
14 | 82c719245 |
15 | 4ad40edb6 |
hex | 2d1e41c6d |
12111322221 has 72 divisors (see below), whose sum is σ = 18931512600. Its totient is φ = 7454861568.
The previous prime is 12111322211. The next prime is 12111322243. The reversal of 12111322221 is 12222311121.
12111322221 is a `hidden beast` number, since 12 + 111 + 322 + 221 = 666.
12111322221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 9251746596 + 2859575625 = 96186^2 + 53475^2 .
It is not a de Polignac number, because 12111322221 - 210 = 12111321197 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 12111322194 and 12111322203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12111322211) 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 71 ways as a sum of consecutive naturals, for example, 34702755 + ... + 34703103.
It is an arithmetic number, because the mean of its divisors is an integer number (262937675).
Almost surely, 212111322221 is an apocalyptic number.
It is an amenable number.
12111322221 is a deficient number, since it is larger than the sum of its proper divisors (6820190379).
12111322221 is a wasteful number, since it uses less digits than its factorization.
12111322221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 635 (or 609 counting only the distinct ones).
The product of its digits is 96, while the sum is 18.
Adding to 12111322221 its reverse (12222311121), we get a palindrome (24333633342).
The spelling of 12111322221 in words is "twelve billion, one hundred eleven million, three hundred twenty-two thousand, two hundred twenty-one".
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