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12031330122 = 2327792834271
BaseRepresentation
bin10110011010001111…
…11000011101001010
31011001111001220012100
423031013320131022
5144120010030442
65305505054230
7604101422130
oct131507703512
934044056170
1012031330122
115114410439
1223b9327376
1311997b4066
14821c55750
154a63ad84c
hex2cd1f874a

12031330122 has 96 divisors (see below), whose sum is σ = 30282670080. Its totient is φ = 3381225120.

The previous prime is 12031330111. The next prime is 12031330123. The reversal of 12031330122 is 22103313021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12031330095 and 12031330104.

It is not an unprimeable number, because it can be changed into a prime (12031330123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2814847 + ... + 2819117.

It is an arithmetic number, because the mean of its divisors is an integer number (315444480).

Almost surely, 212031330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15141335040).

12031330122 is an abundant number, since it is smaller than the sum of its proper divisors (18251339958).

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

12031330122 is a wasteful number, since it uses less digits than its factorization.

12031330122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12031330122 its reverse (22103313021), we get a palindrome (34134643143).

The spelling of 12031330122 in words is "twelve billion, thirty-one million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 283 474 553 566 711 849 1106 1422 1659 1698 1981 2547 3318 3962 4271 4977 5094 5943 8542 9954 11886 12813 17829 22357 25626 29897 35658 38439 44714 59794 67071 76878 89691 134142 156499 179382 201213 269073 312998 337409 402426 469497 538146 674818 938994 1012227 1208693 1408491 2024454 2361863 2417386 2816982 3036681 3626079 4723726 6073362 7085589 7252158 8460851 10878237 14171178 16921702 21256767 21756474 25382553 42513534 50765106 76147659 95486747 152295318 190973494 286460241 572920482 668407229 859380723 1336814458 1718761446 2005221687 4010443374 6015665061 12031330122