Search a number
-
+
12001320012 = 22311731379091
BaseRepresentation
bin10110010110101010…
…11001110001001100
31010222101121020001210
423023111121301030
5144034314220022
65302513534420
7603255352113
oct131325316114
933871536053
1012001320012
1150a94833a0
1223ab274410
1311935075b6
1481bc82c7a
154a3931a0c
hex2cb559c4c

12001320012 has 96 divisors (see below), whose sum is σ = 31196761344. Its totient is φ = 3560371200.

The previous prime is 12001319987. The next prime is 12001320047. The reversal of 12001320012 is 21002310021.

12001320012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12001320012.

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, 1315587 + ... + 1324677.

It is an arithmetic number, because the mean of its divisors is an integer number (324966264).

Almost surely, 212001320012 is an apocalyptic number.

12001320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598380672).

12001320012 is an abundant number, since it is smaller than the sum of its proper divisors (19195441332).

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

12001320012 is a wasteful number, since it uses less digits than its factorization.

12001320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

12001320012 divided by its sum of digits (12) gives a palindrome (1000110001).

Adding to 12001320012 its reverse (21002310021), we get a palindrome (33003630033).

Subtracting 12001320012 from its reverse (21002310021), we obtain a palindrome (9000990009).

The spelling of 12001320012 in words is "twelve billion, one million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 137 146 219 274 292 411 438 548 803 822 876 1507 1606 1644 2409 3014 3212 4521 4818 6028 9042 9091 9636 10001 18084 18182 20002 27273 30003 36364 40004 54546 60006 100001 109092 110011 120012 200002 220022 300003 330033 400004 440044 600006 660066 663643 1200012 1245467 1320132 1327286 1990929 2490934 2654572 3736401 3981858 4981868 7300073 7472802 7963716 13700137 14600146 14945604 21900219 27400274 29200292 41100411 43800438 54800548 82200822 87600876 90919091 164401644 181838182 272757273 363676364 545514546 1000110001 1091029092 2000220002 3000330003 4000440004 6000660006 12001320012