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12022130133120 = 27356261526111
BaseRepresentation
bin1010111011110001111011…
…0010111100100010000000
31120120022012220211100100110
42232330132302330202000
53033432310303224440
641322520151351320
72350366410025032
oct256743662744200
946508186740313
1012022130133120
113915614053418
121421b77082540
136928b34a5b03
142d7c34b55c52
1515cacaba7080
hexaef1ecbc880

12022130133120 has 64 divisors (see below), whose sum is σ = 38320539805440. Its totient is φ = 3205901368320.

The previous prime is 12022130133089. The next prime is 12022130133121. The reversal of 12022130133120 is 2133103122021.

12022130133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120221301331202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12022130133121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130761136 + ... + 3130764975.

It is an arithmetic number, because the mean of its divisors is an integer number (598758434460).

Almost surely, 212022130133120 is an apocalyptic number.

12022130133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022130133120 is an abundant number, since it is smaller than the sum of its proper divisors (26298409672320).

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

12022130133120 is an equidigital number, since it uses as much as digits as its factorization.

12022130133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261526133 (or 6261526121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12022130133120 its reverse (2133103122021), we get a palindrome (14155233255141).

The spelling of 12022130133120 in words is "twelve trillion, twenty-two billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6261526111 12523052222 18784578333 25046104444 31307630555 37569156666 50092208888 62615261110 75138313332 93922891665 100184417776 125230522220 150276626664 187845783330 200368835552 250461044440 300553253328 375691566660 400737671104 500922088880 601106506656 751383133320 801475342208 1001844177760 1202213013312 1502766266640 2003688355520 2404426026624 3005532533280 4007376711040 6011065066560 12022130133120