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12311112312 = 2332414170431
BaseRepresentation
bin10110111011100110…
…01010101001111000
31011202222112022012200
423131303022221320
5200203121043222
65353341510200
7614036504502
oct133563125170
934688468180
1012311112312
115248335994
122476b72360
131212753555
1484b084d72
154c0c26eac
hex2ddccaa78

12311112312 has 48 divisors (see below), whose sum is σ = 34155838080. Its totient is φ = 4003612800.

The previous prime is 12311112259. The next prime is 12311112329. The reversal of 12311112312 is 21321111321.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082264 + ... + 2088167.

It is an arithmetic number, because the mean of its divisors is an integer number (711579960).

Almost surely, 212311112312 is an apocalyptic number.

12311112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12311112312 is an abundant number, since it is smaller than the sum of its proper divisors (21844725768).

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

12311112312 is a wasteful number, since it uses less digits than its factorization.

12311112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170484 (or 4170477 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12311112312 its reverse (21321111321), we get a palindrome (33632223633).

Subtracting 12311112312 from its reverse (21321111321), we obtain a palindrome (9009999009).

The spelling of 12311112312 in words is "twelve billion, three hundred eleven million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4170431 8340862 12511293 16681724 25022586 33363448 37533879 50045172 75067758 100090344 150135516 170987671 300271032 341975342 512963013 683950684 1025926026 1367901368 1538889039 2051852052 3077778078 4103704104 6155556156 12311112312