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12321116214 = 23111726940823
BaseRepresentation
bin10110111100110010…
…10101000000110110
31011210200100112222120
423132121111000312
5200213201204324
65354340140410
7614220521421
oct133631250066
934720315876
1012321116214
115252a48a80
12247a397706
131214846b14
1484c52a9b8
154c1a51179
hex2de655036

12321116214 has 64 divisors (see below), whose sum is σ = 28570268160. Its totient is φ = 3500894720.

The previous prime is 12321116209. The next prime is 12321116237. The reversal of 12321116214 is 41261112321.

12321116214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 281407 + ... + 322229.

It is an arithmetic number, because the mean of its divisors is an integer number (446410440).

Almost surely, 212321116214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321116214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285134080).

12321116214 is an abundant number, since it is smaller than the sum of its proper divisors (16249151946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12321116214 is a wasteful number, since it uses less digits than its factorization.

12321116214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41125.

The product of its digits is 576, while the sum is 24.

Adding to 12321116214 its reverse (41261112321), we get a palindrome (53582228535).

The spelling of 12321116214 in words is "twelve billion, three hundred twenty-one million, one hundred sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 269 374 538 561 807 1122 1614 2959 4573 5918 8877 9146 13719 17754 27438 40823 50303 81646 100606 122469 150909 244938 301818 449053 693991 898106 1347159 1387982 2081973 2694318 4163946 7633901 10981387 15267802 21962774 22901703 32944161 45803406 65888322 120795257 186683579 241590514 362385771 373367158 560050737 724771542 1120101474 2053519369 4107038738 6160558107 12321116214