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12003322034424 = 2337499143183057
BaseRepresentation
bin1010111010101011110110…
…1111101111100011111000
31120111111200011001221022110
42232222331233233203320
53033130300420100144
641310130000452320
72346132336566040
oct256527557574370
946444604057273
1012003322034424
1139086423a94a6
12141a3a831a0a0
13690ba6a18326
142d6d6cc92720
1515c3798c70b9
hexaeabdbef8f8

12003322034424 has 64 divisors (see below), whose sum is σ = 34363933920000. Its totient is φ = 3422647770624.

The previous prime is 12003322034423. The next prime is 12003322034437. The reversal of 12003322034424 is 42443022330021.

It is a junction number, because it is equal to n+sod(n) for n = 12003322034391 and 12003322034400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003322034423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71507697 + ... + 71675360.

It is an arithmetic number, because the mean of its divisors is an integer number (536936467500).

Almost surely, 212003322034424 is an apocalyptic number.

12003322034424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12003322034424 is an abundant number, since it is smaller than the sum of its proper divisors (22360611885576).

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

12003322034424 is a wasteful number, since it uses less digits than its factorization.

12003322034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143183572 (or 143183568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12003322034424 its reverse (42443022330021), we get a palindrome (54446344364445).

The spelling of 12003322034424 in words is "twelve trillion, three billion, three hundred twenty-two million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 499 998 1497 1996 2994 3493 3992 5988 6986 10479 11976 13972 20958 27944 41916 83832 143183057 286366114 429549171 572732228 859098342 1002281399 1145464456 1718196684 2004562798 3006844197 3436393368 4009125596 6013688394 8018251192 12027376788 24054753576 71448345443 142896690886 214345036329 285793381772 428690072658 500138418101 571586763544 857380145316 1000276836202 1500415254303 1714760290632 2000553672404 3000830508606 4001107344808 6001661017212 12003322034424