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12002022330320 = 24511231793312767
BaseRepresentation
bin1010111010100111000001…
…0001110000111111010000
31120111101022120110010110102
42232221300101300333100
53033120120204032240
641305353011351532
72346055205360201
oct256516021607720
946441276403412
1012002022330320
113908035793580
12141a0a4bb25a8
13690a2a684c49
142d6c8840b5a8
1515c300744815
hexaea70470fd0

12002022330320 has 160 divisors (see below), whose sum is σ = 31942504120320. Its totient is φ = 4151293329920.

The previous prime is 12002022330317. The next prime is 12002022330437. The reversal of 12002022330320 is 2303322020021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12002022330292 and 12002022330301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966577 + ... + 5279343.

It is an arithmetic number, because the mean of its divisors is an integer number (199640650752).

Almost surely, 212002022330320 is an apocalyptic number.

12002022330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002022330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971252060160).

12002022330320 is an abundant number, since it is smaller than the sum of its proper divisors (19940481790000).

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

12002022330320 is a wasteful number, since it uses less digits than its factorization.

12002022330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312993 (or 3312987 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12002022330320 its reverse (2303322020021), we get a palindrome (14305344350341).

The spelling of 12002022330320 in words is "twelve trillion, two billion, twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 179 184 220 230 253 358 368 440 460 506 716 880 895 920 1012 1265 1432 1790 1840 1969 2024 2530 2864 3580 3938 4048 4117 5060 7160 7876 8234 9845 10120 14320 15752 16468 19690 20240 20585 31504 32936 39380 41170 45287 65872 78760 82340 90574 157520 164680 181148 226435 329360 362296 452870 724592 905740 1811480 3312767 3622960 6625534 13251068 16563835 26502136 33127670 36440437 53004272 66255340 72880874 76193641 132510680 145761748 152387282 182202185 265021360 291523496 304774564 364404370 380968205 583046992 592985293 609549128 728808740 761936410 838130051 1185970586 1219098256 1457617480 1523872820 1676260102 2371941172 2915234960 2964926465 3047745640 3352520204 4190650255 4743882344 5929852930 6095491280 6522838223 6705040408 8381300510 9487764688 11859705860 13045676446 13410080816 13638661739 16762601020 23719411720 26091352892 27277323478 32614191115 33525202040 47438823440 52182705784 54554646956 65228382230 67050404080 68193308695 104365411568 109109293912 130456764460 136386617390 150025279129 218218587824 260913528920 272773234780 300050558258 521827057840 545546469560 600101116516 750126395645 1091092939120 1200202233032 1500252791290 2400404466064 3000505582580 6001011165160 12002022330320