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12322431134112 = 2531141284608997
BaseRepresentation
bin1011001101010000101000…
…1000010110100110100000
31121122000100102010210211110
42303110022020112212200
53103342314332242422
642112502520143320
72411160221306331
oct263241210264640
947560312123743
1012322431134112
113a20a06148170
121470205307b40
136b5000792cc8
143085a1c4c288
151658049c160c
hexb350a2169a0

12322431134112 has 96 divisors (see below), whose sum is σ = 36147619617984. Its totient is φ = 3642995148800.

The previous prime is 12322431134099. The next prime is 12322431134129. The reversal of 12322431134112 is 21143113422321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12322431134112.

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 15 ways as a sum of consecutive naturals, for example, 142261203 + ... + 142347794.

It is an arithmetic number, because the mean of its divisors is an integer number (376537704354).

Almost surely, 212322431134112 is an apocalyptic number.

12322431134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12322431134112 is an abundant number, since it is smaller than the sum of its proper divisors (23825188483872).

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

12322431134112 is a wasteful number, since it uses less digits than its factorization.

12322431134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284609062 (or 284609054 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 12322431134112 its reverse (21143113422321), we get a palindrome (33465544556433).

The spelling of 12322431134112 in words is "twelve trillion, three hundred twenty-two billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 284608997 569217994 853826991 1138435988 1707653982 2276871976 3130698967 3415307964 4553743952 6261397934 6830615928 9107487904 9392096901 11668968877 12522795868 13661231856 18784193802 23337937754 25045591736 27322463712 35006906631 37568387604 46675875508 50091183472 70013813262 75136775208 93351751016 100182366944 128358657647 140027626524 150273550416 186703502032 256717315294 280055253048 300547100832 373407004064 385075972941 513434630588 560110506096 770151945882 1026869261176 1120221012192 1540303891764 2053738522352 3080607783528 4107477044704 6161215567056 12322431134112