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12002022322300 = 22522961193335099
BaseRepresentation
bin1010111010100111000001…
…0001101111000001111100
31120111101022120102201110101
42232221300101233001330
53033120120203303200
641305353011250444
72346055205324623
oct256516021570174
946441276381411
1012002022322300
11390803578854a
12141a0a4ba9a24
13690a2a6813ba
142d6c884086ba
1515c30074226a
hexaea7046f07c

12002022322300 has 144 divisors (see below), whose sum is σ = 27399097908000. Its totient is φ = 4556787379200.

The previous prime is 12002022322267. The next prime is 12002022322313. The reversal of 12002022322300 is 322322020021.

12002022322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341930151 + ... + 341965249.

It is an arithmetic number, because the mean of its divisors is an integer number (190271513250).

Almost surely, 212002022322300 is an apocalyptic number.

12002022322300 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 12002022322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699548954000).

12002022322300 is an abundant number, since it is smaller than the sum of its proper divisors (15397075585700).

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

12002022322300 is a wasteful number, since it uses less digits than its factorization.

12002022322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37136 (or 37129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12002022322300 its reverse (322322020021), we get a palindrome (12324344342321).

The spelling of 12002022322300 in words is "twelve trillion, two billion, twenty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 145 244 290 305 580 610 725 1220 1450 1525 1769 1933 2900 3050 3538 3866 6100 7076 7732 8845 9665 17690 19330 35099 35380 38660 44225 48325 56057 70198 88450 96650 112114 117913 140396 175495 176900 193300 224228 235826 280285 350990 471652 560570 589565 701980 877475 1017871 1121140 1179130 1401425 1754950 2035742 2141039 2358260 2802850 2947825 3419477 3509900 4071484 4282078 5089355 5605700 5895650 6838954 8564156 10178710 10705195 11791300 13677908 17097385 20357420 21410390 25446775 34194770 42820780 50893550 53525975 62090131 67846367 68389540 85486925 101787100 107051950 124180262 135692734 170973850 214103900 248360524 271385468 310450655 339231835 341947700 620901310 678463670 1241802620 1356927340 1552253275 1696159175 1967544643 3104506550 3392318350 3935089286 4138628387 6209013100 6784636700 7870178572 8277256774 9837723215 16554513548 19675446430 20693141935 39350892860 41386283870 49188616075 82772567740 98377232150 103465709675 120020223223 196754464300 206931419350 240040446446 413862838700 480080892892 600101116115 1200202232230 2400404464460 3000505580575 6001011161150 12002022322300