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12341243520 = 273252142577
BaseRepresentation
bin10110111111001100…
…00110111010000000
31011212002020010110100
423133212012322000
5200233324243040
65400335402400
7614553560544
oct133746067200
934762203410
1012341243520
115263345a11
122485083400
131218a73178
14851089a24
154c36c9b30
hex2df986e80

12341243520 has 96 divisors (see below), whose sum is σ = 42615876420. Its totient is φ = 3290996736.

The previous prime is 12341243513. The next prime is 12341243539. The reversal of 12341243520 is 2534214321.

12341243520 is a `hidden beast` number, since 12 + 3 + 4 + 124 + 3 + 520 = 666.

12341243520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12331658304 + 9585216 = 111048^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065529 + ... + 1077048.

Almost surely, 212341243520 is an apocalyptic number.

12341243520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341243520 is an abundant number, since it is smaller than the sum of its proper divisors (30274632900).

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

12341243520 is a wasteful number, since it uses less digits than its factorization.

12341243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142602 (or 2142587 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12341243520 its reverse (2534214321), we get a palindrome (14875457841).

The spelling of 12341243520 in words is "twelve billion, three hundred forty-one million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2142577 4285154 6427731 8570308 10712885 12855462 17140616 19283193 21425770 25710924 32138655 34281232 38566386 42851540 51421848 64277310 68562464 77132772 85703080 96415965 102843696 128554620 137124928 154265544 171406160 192831930 205687392 257109240 274249856 308531088 342812320 385663860 411374784 514218480 617062176 685624640 771327720 822749568 1028436960 1234124352 1371249280 1542655440 2056873920 2468248704 3085310880 4113747840 6170621760 12341243520