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12006666005400 = 23325211606397273
BaseRepresentation
bin1010111010111000010100…
…0011111110101110011000
31120111211022012100021010100
42232232011003332232120
53033204122444133100
641311441453415400
72346311243065413
oct256560503765630
946454265307110
1012006666005400
113909aa8a46380
12141ab8019a560
136912ba754791
142d71a9036b7a
1515c4c3263400
hexaeb850feb98

12006666005400 has 144 divisors (see below), whose sum is σ = 43988058255960. Its totient is φ = 2910706905600.

The previous prime is 12006666005381. The next prime is 12006666005413. The reversal of 12006666005400 is 450066660021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303178837 + ... + 303218436.

Almost surely, 212006666005400 is an apocalyptic number.

12006666005400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006666005400 is an abundant number, since it is smaller than the sum of its proper divisors (31981392250560).

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

12006666005400 is a wasteful number, since it uses less digits than its factorization.

12006666005400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606397306 (or 606397294 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12006666005400 in words is "twelve trillion, six billion, six hundred sixty-six million, five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 606397273 1212794546 1819191819 2425589092 3031986365 3638383638 4851178184 5457575457 6063972730 6670370003 7276767276 9095959095 10915150914 12127945460 13340740006 14553534552 15159931825 18191918190 20011110009 21830301828 24255890920 26681480012 27287877285 30319863650 33351850015 36383836380 40022220018 43660603656 45479795475 53362960024 54575754570 60033330027 60639727300 66703700030 72767672760 80044440036 90959590950 100055550045 109151509140 120066660054 121279454600 133407400060 136439386425 160088880072 166759250075 181919181900 200111100090 218303018280 240133320108 266814800120 272878772850 300166650135 333518500150 363838363800 400222200180 480266640216 500277750225 545757545700 600333300270 667037000300 800444400360 1000555500450 1091515091400 1200666600540 1334074000600 1500833250675 2001111000900 2401333201080 3001666501350 4002222001800 6003333002700 12006666005400