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12000324234320 = 2452771613335729
BaseRepresentation
bin1010111010100000101100…
…0100000010110001010000
31120111012221020011220122222
42232220023010002301100
53033103131000444240
641304512311320212
72345665135655042
oct256501304026120
946435836156588
1012000324234320
113907344200954
1214198b0380068
13690819924206
142d6b66a9da92
1515c251619eb5
hexaea0b102c50

12000324234320 has 80 divisors (see below), whose sum is σ = 28018921919760. Its totient is φ = 4779821309952.

The previous prime is 12000324234229. The next prime is 12000324234343. The reversal of 12000324234320 is 2343242300021.

It can be written as a sum of positive squares in 8 ways, for example, as 2781036510736 + 9219287723584 = 1667644^2 + 3036328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12000324234320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35576216 + ... + 35911944.

It is an arithmetic number, because the mean of its divisors is an integer number (350236523997).

Almost surely, 212000324234320 is an apocalyptic number.

12000324234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000324234320 is an abundant number, since it is smaller than the sum of its proper divisors (16018597685440).

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

12000324234320 is a wasteful number, since it uses less digits than its factorization.

12000324234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337632 (or 337626 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 12000324234320 its reverse (2343242300021), we get a palindrome (14343566534341).

The spelling of 12000324234320 in words is "twelve trillion, three hundred twenty-four million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 1108 1385 1613 2216 2770 3226 4432 5540 6452 8065 11080 12904 16130 22160 25808 32260 64520 129040 335729 446801 671458 893602 1342916 1678645 1787204 2234005 2685832 3357290 3574408 4468010 5371664 6714580 7148816 8936020 13429160 17872040 26858320 35744080 92996933 185993866 371987732 464984665 541530877 743975464 929969330 1083061754 1487950928 1859938660 2166123508 2707654385 3719877320 4332247016 5415308770 7439754640 8664494032 10830617540 21661235080 43322470160 150004052929 300008105858 600016211716 750020264645 1200032423432 1500040529290 2400064846864 3000081058580 6000162117160 12000324234320