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12330323013000 = 2335322391835689
BaseRepresentation
bin1011001101101110000010…
…0001011110110110001000
31121122202201102002210110010
42303123200201132312020
53104010000142404000
642120245554351520
72411556620211516
oct263334041366610
947582642083403
1012330323013000
113a24295987623
12147184828b5a0
136b598a7ab025
14308b1000d4b6
15165b17760d50
hexb36e085ed88

12330323013000 has 128 divisors (see below), whose sum is σ = 38487810816000. Its totient is φ = 3286615795200.

The previous prime is 12330323012999. The next prime is 12330323013103. The reversal of 12330323013000 is 31032303321.

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, 5799156 + ... + 7634844.

It is an arithmetic number, because the mean of its divisors is an integer number (300686022000).

Almost surely, 212330323013000 is an apocalyptic number.

12330323013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330323013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243905408000).

12330323013000 is an abundant number, since it is smaller than the sum of its proper divisors (26157487803000).

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

12330323013000 is a wasteful number, since it uses less digits than its factorization.

12330323013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837952 (or 1837938 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12330323013000 its reverse (31032303321), we get a palindrome (12361355316321).

The spelling of 12330323013000 in words is "twelve trillion, three hundred thirty billion, three hundred twenty-three million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2239 3000 4478 6717 8956 11195 13434 17912 22390 26868 33585 44780 53736 55975 67170 89560 111950 134340 167925 223900 268680 279875 335850 447800 559750 671700 839625 1119500 1343400 1679250 1835689 2239000 3358500 3671378 5507067 6717000 7342756 9178445 11014134 14685512 18356890 22028268 27535335 36713780 44056536 45892225 55070670 73427560 91784450 110141340 137676675 183568900 220282680 229461125 275353350 367137800 458922250 550706700 688383375 917844500 1101413400 1376766750 1835689000 2753533500 4110107671 5507067000 8220215342 12330323013 16440430684 20550538355 24660646026 32880861368 41101076710 49321292052 61651615065 82202153420 98642584104 102752691775 123303230130 164404306840 205505383550 246606460260 308258075325 411010767100 493212920520 513763458875 616516150650 822021534200 1027526917750 1233032301300 1541290376625 2055053835500 2466064602600 3082580753250 4110107671000 6165161506500 12330323013000