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12122221111 = 7111322693463
BaseRepresentation
bin10110100101000101…
…00110101000110111
31011021211002122012021
423102202212220313
5144311242033421
65322513134011
7606254115340
oct132242465067
934254078167
1012122221111
115160750160
12242385a307
1311b2588700
1482dd550c7
154ae364341
hex2d28a6a37

12122221111 has 48 divisors (see below), whose sum is σ = 16430999040. Its totient is φ = 8684357760.

The previous prime is 12122221063. The next prime is 12122221147. The reversal of 12122221111 is 11112222121.

12122221111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122221111 - 29 = 12122220599 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 (12122221151) 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 47 ways as a sum of consecutive naturals, for example, 3498766 + ... + 3502228.

It is an arithmetic number, because the mean of its divisors is an integer number (342312480).

Almost surely, 212122221111 is an apocalyptic number.

12122221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122221111 is a deficient number, since it is larger than the sum of its proper divisors (4308777929).

12122221111 is a wasteful number, since it uses less digits than its factorization.

12122221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3763 counting only the distinct ones).

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

Adding to 12122221111 its reverse (11112222121), we get a palindrome (23234443232).

The spelling of 12122221111 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 143 169 269 1001 1183 1859 1883 2959 3463 3497 13013 20713 24241 24479 38093 38467 45019 45461 266651 269269 315133 318227 495209 500071 585247 931547 3466463 3500497 4096729 6437717 6520829 10247017 12110111 45064019 71729119 84770777 133211221 157431443 932478547 1102020101 1731745873 12122221111