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12330442000 = 24536165221
BaseRepresentation
bin10110111101111001…
…11001110100010000
31011211022220100120001
423132330321310100
5200223043121000
65355312055344
7614363012332
oct133674716420
934738810501
1012330442000
115258238638
122481534554
131216760836
1484d877452
154c279446a
hex2def39d10

12330442000 has 40 divisors (see below), whose sum is σ = 29815013592. Its totient is φ = 4932176000.

The previous prime is 12330441971. The next prime is 12330442039. The reversal of 12330442000 is 24403321.

It can be written as a sum of positive squares in 4 ways, for example, as 3132864784 + 9197577216 = 55972^2 + 95904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3080611 + ... + 3084610.

Almost surely, 212330442000 is an apocalyptic number.

12330442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330442000 is an abundant number, since it is smaller than the sum of its proper divisors (17484571592).

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

12330442000 is an equidigital number, since it uses as much as digits as its factorization.

12330442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165244 (or 6165228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12330442000 its reverse (24403321), we get a palindrome (12354845321).

The spelling of 12330442000 in words is "twelve billion, three hundred thirty million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6165221 12330442 24660884 30826105 49321768 61652210 98643536 123304420 154130525 246608840 308261050 493217680 616522100 770652625 1233044200 1541305250 2466088400 3082610500 6165221000 12330442000