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12122009999 = 1123478710009
BaseRepresentation
bin10110100101000011…
…10011000110001111
31011021210200220121022
423102201303012033
5144311213304444
65322504424355
7606252246011
oct132241630617
934253626538
1012122009999
115160616590
1224237780bb
1311b25135a8
1482dcdc1b1
154ae3219ee
hex2d287318f

12122009999 has 16 divisors (see below), whose sum is σ = 13803229440. Its totient is φ = 10537623360.

The previous prime is 12122009989. The next prime is 12122010071. The reversal of 12122009999 is 99990022121.

It is a happy number.

12122009999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1101002-1.

It is not a de Polignac number, because 12122009999 - 24 = 12122009983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122009959) 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 15 ways as a sum of consecutive naturals, for example, 1206107 + ... + 1216115.

It is an arithmetic number, because the mean of its divisors is an integer number (862701840).

Almost surely, 212122009999 is an apocalyptic number.

12122009999 is a deficient number, since it is larger than the sum of its proper divisors (1681219441).

12122009999 is a wasteful number, since it uses less digits than its factorization.

12122009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14830.

The product of its (nonzero) digits is 52488, while the sum is 44.

The spelling of 12122009999 in words is "twelve billion, one hundred twenty-two million, nine thousand, nine hundred ninety-nine".

Divisors: 1 11 23 253 4787 10009 52657 110099 110101 230207 1211111 2532277 47913083 527043913 1102000909 12122009999