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12000031212012 = 22310960715114227
BaseRepresentation
bin1010111010011111100110…
…0110010000000111101100
31120111012011210210211121220
42232213321212100013230
53033102030442241022
641304423243023340
72345654650216434
oct256477146200754
946435153724556
1012000031212012
113907203862958
12141982a20ab50
136907a0cca42c
142d6b39bc52c4
1515c235a3885c
hexae9f99901ec

12000031212012 has 48 divisors (see below), whose sum is σ = 28303507921920. Its totient is φ = 3956783452992.

The previous prime is 12000031211989. The next prime is 12000031212077. The reversal of 12000031212012 is 21021213000021.

It is a junction number, because it is equal to n+sod(n) for n = 12000031211982 and 12000031212000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6763158 + ... + 8351069.

It is an arithmetic number, because the mean of its divisors is an integer number (589656415040).

Almost surely, 212000031212012 is an apocalyptic number.

12000031212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000031212012 is an abundant number, since it is smaller than the sum of its proper divisors (16303476709908).

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

12000031212012 is a wasteful number, since it uses less digits than its factorization.

12000031212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114950 (or 15114948 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12000031212012 its reverse (21021213000021), we get a palindrome (33021244212033).

The spelling of 12000031212012 in words is "twelve trillion, thirty-one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 109 218 327 436 607 654 1214 1308 1821 2428 3642 7284 66163 132326 198489 264652 396978 793956 15114227 30228454 45342681 60456908 90685362 181370724 1647450743 3294901486 4942352229 6589802972 9174335789 9884704458 18348671578 19769408916 27523007367 36697343156 55046014734 110092029468 1000002601001 2000005202002 3000007803003 4000010404004 6000015606006 12000031212012