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12001313022320 = 245296777208653
BaseRepresentation
bin1010111010100100010111…
…1111111110000101110000
31120111022111010202112210202
42232221011333332011300
53033112142113203240
641305154352414332
72346031503350636
oct256510577760560
946438433675722
1012001313022320
113907801366a16
121419b275473a8
13690946736c7b
142d6c1c12d356
1515c2ad334315
hexaea45ffe170

12001313022320 has 80 divisors (see below), whose sum is σ = 29296051673760. Its totient is φ = 4565810844672.

The previous prime is 12001313022311. The next prime is 12001313022331. The reversal of 12001313022320 is 2322031310021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120013130223202 (a number of 27 digits) contains 22 as substring.

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 = 12001313022292 and 12001313022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38448887 + ... + 38759766.

It is an arithmetic number, because the mean of its divisors is an integer number (366200645922).

Almost surely, 212001313022320 is an apocalyptic number.

12001313022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001313022320 is an abundant number, since it is smaller than the sum of its proper divisors (17294738651440).

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

12001313022320 is a wasteful number, since it uses less digits than its factorization.

12001313022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77208762 (or 77208756 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12001313022320 its reverse (2322031310021), we get a palindrome (14323344332341).

The spelling of 12001313022320 in words is "twelve trillion, one billion, three hundred thirteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 67 80 116 134 145 232 268 290 335 464 536 580 670 1072 1160 1340 1943 2320 2680 3886 5360 7772 9715 15544 19430 31088 38860 77720 155440 77208653 154417306 308834612 386043265 617669224 772086530 1235338448 1544173060 2239050937 3088346120 4478101874 5172979751 6176692240 8956203748 10345959502 11195254685 17912407496 20691919004 22390509370 25864898755 35824814992 41383838008 44781018740 51729797510 82767676016 89562037480 103459595020 150016412779 179124074960 206919190040 300032825558 413838380080 600065651116 750082063895 1200131302232 1500164127790 2400262604464 3000328255580 6000656511160 12001313022320