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12002321000320 = 275719141004711
BaseRepresentation
bin1010111010101000001000…
…0101000110011110000000
31120111102002101110010200021
42232222002011012132000
53033121223134002240
641305442401103224
72346065463130210
oct256520205063600
946442071403607
1012002321000320
113908179339792
12141a169027b14
13690a77508561
142d6cb5d56240
1515c31ba8e54a
hexaea82146780

12002321000320 has 128 divisors (see below), whose sum is σ = 34517953497600. Its totient is φ = 3898498222080.

The previous prime is 12002321000311. The next prime is 12002321000333. The reversal of 12002321000320 is 2300012320021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12002321000294 and 12002321000303.

It is a congruent number.

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, 70417236 + ... + 70587475.

It is an arithmetic number, because the mean of its divisors is an integer number (269671511700).

Almost surely, 212002321000320 is an apocalyptic number.

12002321000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002321000320 is an abundant number, since it is smaller than the sum of its proper divisors (22515632497280).

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

12002321000320 is a wasteful number, since it uses less digits than its factorization.

12002321000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141004756 (or 141004744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12002321000320 its reverse (2300012320021), we get a palindrome (14302333320341).

The spelling of 12002321000320 in words is "twelve trillion, two billion, three hundred twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 141004711 282009422 564018844 705023555 987032977 1128037688 1410047110 1974065954 2256075376 2679089509 2820094220 3948131908 4512150752 4935164885 5358179018 5640188440 7896263816 9024301504 9870329770 10716358036 11280376880 13395447545 15792527632 18048603008 18753626563 19740659540 21432716072 22560753760 26790895090 31585055264 37507253126 39481319080 42865432144 45121507520 53581790180 63170110528 75014506252 78962638160 85730864288 90243015040 93768132815 107163580360 126340221056 150029012504 157925276320 171461728576 187536265630 214327160720 300058025008 315850552640 342923457152 375072531260 428654321440 600116050016 631701105280 750145062520 857308642880 1200232100032 1500290125040 1714617285760 2400464200064 3000580250080 6001160500160 12002321000320