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12121122111111 = 32131011025735983
BaseRepresentation
bin1011000001100010101100…
…1011010111111010000111
31120220202201211200212100200
42300120223023113322013
53042043024230023421
641440211105141543
72360502463661616
oct260305313277207
946822654625320
1012121122111111
1139535a2486682
1214391a332a8b3
1369c02b1c9c10
142dc945d7b87d
15160471678726
hexb062b2d7e87

12121122111111 has 24 divisors (see below), whose sum is σ = 19041762806976. Its totient is φ = 7385299070400.

The previous prime is 12121122111097. The next prime is 12121122111113. The reversal of 12121122111111 is 11111122112121.

12121122111111 is a `hidden beast` number, since 121 + 211 + 221 + 1 + 1 + 111 = 666.

It is not a de Polignac number, because 12121122111111 - 210 = 12121122110087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121122111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512856175 + ... + 512879808.

It is an arithmetic number, because the mean of its divisors is an integer number (793406783624).

Almost surely, 212121122111111 is an apocalyptic number.

12121122111111 is a deficient number, since it is larger than the sum of its proper divisors (6920640695865).

12121122111111 is a wasteful number, since it uses less digits than its factorization.

12121122111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025736103 (or 1025736100 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 12121122111111 its reverse (11111122112121), we get a palindrome (23232244223232).

The spelling of 12121122111111 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 1025735983 3077207949 9231623847 13334567779 40003703337 103599334283 120011110011 310798002849 932394008547 1346791345679 4040374037037 12121122111111