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12002323013312 = 267310957740847
BaseRepresentation
bin1010111010101000001000…
…1100110001111011000000
31120111102002112020101222112
42232222002030301323000
53033121224142411222
641305442512154452
72346065516213042
oct256520214617300
946442075211875
1012002323013312
11390817a494115
12141a169838a28
13690a77a61888
142d6cb631ba92
1515c31bd3abe2
hexaea82331ec0

12002323013312 has 112 divisors (see below), whose sum is σ = 24407694664320. Its totient is φ = 5854344118272.

The previous prime is 12002323013273. The next prime is 12002323013327. The reversal of 12002323013312 is 21331032320021.

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 15 ways as a sum of consecutive naturals, for example, 293815673 + ... + 293856519.

Almost surely, 212002323013312 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 12002323013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203847332160).

12002323013312 is an abundant number, since it is smaller than the sum of its proper divisors (12405371651008).

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

12002323013312 is a wasteful number, since it uses less digits than its factorization.

12002323013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41618 (or 41608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12002323013312 its reverse (21331032320021), we get a palindrome (33333355333333).

The spelling of 12002323013312 in words is "twelve trillion, two billion, three hundred twenty-three million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 109 146 218 292 436 577 584 872 1154 1168 1744 2308 2336 3488 4616 4672 6976 7957 9232 15914 18464 31828 36928 40847 42121 62893 63656 81694 84242 125786 127312 163388 168484 251572 254624 326776 336968 503144 509248 653552 673936 1006288 1307104 1347872 2012576 2614208 2695744 2981831 4025152 4452323 4591189 5963662 8904646 9182378 11927324 17809292 18364756 23568719 23854648 35618584 36729512 47137438 47709296 71237168 73459024 94274876 95418592 142474336 146918048 188549752 190837184 284948672 293836096 325019579 377099504 650039158 754199008 1300078316 1508398016 1720516487 2568990371 2600156632 3441032974 5137980742 5200313264 6882065948 10275961484 10400626528 13764131896 20551922968 20801253056 27528263792 41103845936 55056527584 82207691872 110113055168 164415383744 187536297083 375072594166 750145188332 1500290376664 3000580753328 6001161506656 12002323013312