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12102221120011 = 1123113461918259
BaseRepresentation
bin1011000000011100010010…
…0101110100001000001011
31120211221221121011000220021
42300013010211310020023
53041240322101320021
641423403355241311
72356233215132401
oct260070445641013
946757847130807
1012102221120011
113946583355280
1214355a9449237
1369a308416b09
142dba71a17471
1515ec17149c41
hexb01c497420b

12102221120011 has 32 divisors (see below), whose sum is σ = 13928520291840. Its totient is φ = 10407903475200.

The previous prime is 12102221119991. The next prime is 12102221120029. The reversal of 12102221120011 is 11002112220121.

It is not a de Polignac number, because 12102221120011 - 235 = 12067861381643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12102221127011) 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 31 ways as a sum of consecutive naturals, for example, 12720400 + ... + 13638658.

It is an arithmetic number, because the mean of its divisors is an integer number (435266259120).

Almost surely, 212102221120011 is an apocalyptic number.

12102221120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12102221120011 is a deficient number, since it is larger than the sum of its proper divisors (1826299171829).

12102221120011 is a wasteful number, since it uses less digits than its factorization.

12102221120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918867.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12102221120011 its reverse (11002112220121), we get a palindrome (23104333340132).

The spelling of 12102221120011 in words is "twelve trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty thousand, eleven".

Divisors: 1 11 23 113 253 461 1243 2599 5071 10603 28589 52093 116633 573023 918259 1198139 10100849 13179529 21119957 103763267 232319527 423317399 1141395937 2386555141 4656491389 9736300177 26252106551 47834866087 107099301947 526183526957 1100201920001 12102221120011