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12131112240 = 24325131296059
BaseRepresentation
bin10110100110001001…
…00001010100110000
31011022102211100112100
423103010201110300
5144321031042430
65323431500400
7606422516112
oct132304412460
934272740470
1012131112240
1151657731a5
122426827700
1311b437c630
148311cb3b2
154b001d960
hex2d3121530

12131112240 has 120 divisors (see below), whose sum is σ = 43874223120. Its totient is φ = 2986117632.

The previous prime is 12131112223. The next prime is 12131112247. The reversal of 12131112240 is 4221113121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12131112247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638670 + ... + 657389.

It is an arithmetic number, because the mean of its divisors is an integer number (365618526).

Almost surely, 212131112240 is an apocalyptic number.

12131112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131112240 is an abundant number, since it is smaller than the sum of its proper divisors (31743110880).

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

12131112240 is a wasteful number, since it uses less digits than its factorization.

12131112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296091 (or 1296082 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12131112240 its reverse (4221113121), we get a palindrome (16352225361).

The spelling of 12131112240 in words is "twelve billion, one hundred thirty-one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 1296059 2592118 3888177 5184236 6480295 7776354 10368472 11664531 12960590 15552708 16848767 19440885 20736944 23329062 25921180 31105416 33697534 38881770 46658124 50546301 51842360 58322655 62210832 67395068 77763540 84243835 93316248 101092602 103684720 116645310 134790136 151638903 155527080 168487670 186632496 202185204 233290620 252731505 269580272 303277806 311054160 336975340 404370408 466581240 505463010 606555612 673950680 758194515 808740816 933162480 1010926020 1213111224 1347901360 1516389030 2021852040 2426222448 3032778060 4043704080 6065556120 12131112240