Search a number
-
+
12003302011312 = 2423471670341549
BaseRepresentation
bin1010111010101011110010…
…0011010111000110110000
31120111111121202101122202201
42232222330203113012300
53033130230303330222
641310124003352544
72346132004442443
oct256527443270660
946444552348681
1012003302011312
113908632072877
12141a3a1682754
13690ba2827531
142d6d6a35d65a
1515c377c6e427
hexaeabc8d71b0

12003302011312 has 80 divisors (see below), whose sum is σ = 24785956454400. Its totient is φ = 5618095298816.

The previous prime is 12003302011279. The next prime is 12003302011313. The reversal of 12003302011312 is 21311020330021.

It is a super-2 number, since 2×120033020113122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12003302011312.

It is not an unprimeable number, because it can be changed into a prime (12003302011313) by changing a digit.

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, 288874314 + ... + 288915862.

It is an arithmetic number, because the mean of its divisors is an integer number (309824455680).

Almost surely, 212003302011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003302011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392978227200).

12003302011312 is an abundant number, since it is smaller than the sum of its proper divisors (12782654443088).

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

12003302011312 is a wasteful number, since it uses less digits than its factorization.

12003302011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58330 (or 58324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12003302011312 its reverse (21311020330021), we get a palindrome (33314322341333).

The spelling of 12003302011312 in words is "twelve trillion, three billion, three hundred two million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 2162 4324 8648 16703 17296 33406 41549 66812 83098 133624 166196 267248 332392 384169 664784 768338 785041 955627 1536676 1570082 1911254 1952803 3073352 3140164 3822508 3905606 6146704 6280328 7645016 7811212 12560656 15290032 15622424 18055943 31244848 36111886 44914469 72223772 89828938 144447544 179657876 288895088 359315752 693992947 718631504 1387985894 2775971788 5551943576 11103887152 15961837781 31923675562 32617668509 63847351124 65235337018 127694702248 130470674036 255389404496 260941348072 521882696144 750206375707 1500412751414 3000825502828 6001651005656 12003302011312