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12000320103000 = 233537156339531
BaseRepresentation
bin1010111010100000101011…
…0100010010001001011000
31120111012220221102000120010
42232220022310102021120
53033103123421244000
641304512043001520
72345665055600265
oct256501264221130
946435827360503
1012000320103000
113907341939a39
1214198aab092a0
13690818b08948
142d6b6630626c
1515c2510a0d50
hexaea0ad12258

12000320103000 has 128 divisors (see below), whose sum is σ = 37968337405440. Its totient is φ = 3155013680000.

The previous prime is 12000320102957. The next prime is 12000320103049. The reversal of 12000320103000 is 30102300021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27956766 + ... + 28382765.

It is an arithmetic number, because the mean of its divisors is an integer number (296627635980).

Almost surely, 212000320103000 is an apocalyptic number.

12000320103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000320103000 is an abundant number, since it is smaller than the sum of its proper divisors (25968017302440).

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

12000320103000 is a wasteful number, since it uses less digits than its factorization.

12000320103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56339626 (or 56339612 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12000320103000 its reverse (30102300021), we get a palindrome (12030422403021).

The spelling of 12000320103000 in words is "twelve trillion, three hundred twenty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 17750 21300 26625 35500 42600 53250 71000 106500 213000 56339531 112679062 169018593 225358124 281697655 338037186 450716248 563395310 676074372 845092965 1126790620 1352148744 1408488275 1690185930 2253581240 2816976550 3380371860 4000106701 4225464825 5633953100 6760743720 7042441375 8000213402 8450929650 11267906200 12000320103 14084882750 16000426804 16901859300 20000533505 21127324125 24000640206 28169765500 32000853608 33803718600 40001067010 42254648250 48001280412 56339531000 60001600515 80002134020 84509296500 96002560824 100002667525 120003201030 160004268040 169018593000 200005335050 240006402060 300008002575 400010670100 480012804120 500013337625 600016005150 800021340200 1000026675250 1200032010300 1500040012875 2000053350500 2400064020600 3000080025750 4000106701000 6000160051500 12000320103000