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12122101311 = 3171671423283
BaseRepresentation
bin10110100101000100…
…01001011000111111
31011021210212112212020
423102202021120333
5144311224220221
65322510411223
7606253106145
oct132242113077
934253775766
1012122101311
115160679151
122423800b13
1311b2546018
1482dd23595
154ae33dac6
hex2d288963f

12122101311 has 16 divisors (see below), whose sum is σ = 17216043264. Its totient is φ = 7560473984.

The previous prime is 12122101307. The next prime is 12122101331. The reversal of 12122101311 is 11310122121.

12122101311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12122101311 - 22 = 12122101307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101331) 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, 703125 + ... + 720158.

It is an arithmetic number, because the mean of its divisors is an integer number (1076002704).

Almost surely, 212122101311 is an apocalyptic number.

12122101311 is a deficient number, since it is larger than the sum of its proper divisors (5093941953).

12122101311 is a wasteful number, since it uses less digits than its factorization.

12122101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423470.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12122101311 its reverse (11310122121), we get a palindrome (23432223432).

The spelling of 12122101311 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, three hundred eleven".

Divisors: 1 3 17 51 167 501 2839 8517 1423283 4269849 24195811 72587433 237688261 713064783 4040700437 12122101311