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12003030213120 = 29335173654951
BaseRepresentation
bin1010111010101010110001…
…0110100010001000000000
31120111110220210221212202000
42232222230112202020000
53033124201213304440
641310041014024000
72346122164262052
oct256525426421000
946443823855660
1012003030213120
113908502700871
12141a326648000
13690b5b4220bb
142d6d4220b8d2
1515c35de81730
hexaeaac5a2200

12003030213120 has 160 divisors (see below), whose sum is σ = 42635763815040. Its totient is φ = 3200808038400.

The previous prime is 12003030213101. The next prime is 12003030213121. The reversal of 12003030213120 is 2131203030021.

12003030213120 is a `hidden beast` number, since 1 + 20 + 0 + 30 + 302 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12003030213093 and 12003030213102.

It is not an unprimeable number, because it can be changed into a prime (12003030213121) by changing a digit.

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, 86758356 + ... + 86896595.

It is an arithmetic number, because the mean of its divisors is an integer number (266473523844).

Almost surely, 212003030213120 is an apocalyptic number.

12003030213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003030213120 is an abundant number, since it is smaller than the sum of its proper divisors (30632733601920).

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

12003030213120 is an equidigital number, since it uses as much as digits as its factorization.

12003030213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173654983 (or 173654961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12003030213120 its reverse (2131203030021), we get a palindrome (14134233243141).

The spelling of 12003030213120 in words is "twelve trillion, three billion, thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 173654951 347309902 520964853 694619804 868274755 1041929706 1389239608 1562894559 1736549510 2083859412 2604824265 2778479216 3125789118 3473099020 4167718824 4688683677 5209648530 5556958432 6251578236 6946198040 7814472795 8335437648 9377367354 10419297060 11113916864 12503156472 13892396080 15628945590 16670875296 18754734708 20838594120 22227833728 23443418385 25006312944 27784792160 31257891180 33341750592 37509469416 41677188240 44455667456 46886836770 50012625888 55569584320 62515782360 66683501184 75018938832 83354376480 88911334912 93773673540 100025251776 111139168640 125031564720 133367002368 150037877664 166708752960 187547347080 200050503552 222278337280 250063129440 266734004736 300075755328 333417505920 375094694160 400101007104 444556674560 500126258880 600151510656 666835011840 750189388320 800202014208 1000252517760 1200303021312 1333670023680 1500378776640 2000505035520 2400606042624 3000757553280 4001010071040 6001515106560 12003030213120