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12312120520 = 2357297572003
BaseRepresentation
bin10110111011101110…
…00000110011001000
31011210001102112012201
423131313000303020
5200203400324040
65353415245544
7614051204050
oct133567006310
934701375181
1012312120520
115248964417
1224773798b4
131212a1741b
1484b268560
154c0d75a9a
hex2dddc0cc8

12312120520 has 128 divisors (see below), whose sum is σ = 32811091200. Its totient is φ = 4068320256.

The previous prime is 12312120497. The next prime is 12312120559. The reversal of 12312120520 is 2502121321.

12312120520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6145839 + ... + 6147841.

It is an arithmetic number, because the mean of its divisors is an integer number (256336650).

Almost surely, 212312120520 is an apocalyptic number.

12312120520 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 12312120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405545600).

12312120520 is an abundant number, since it is smaller than the sum of its proper divisors (20498970680).

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

12312120520 is a wasteful number, since it uses less digits than its factorization.

12312120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12312120520 its reverse (2502121321), we get a palindrome (14814241841).

It can be divided in two parts, 123121 and 20520, that added together give a square (143641 = 3792).

The spelling of 12312120520 in words is "twelve billion, three hundred twelve million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 757 812 1015 1160 1514 1624 2003 2030 3028 3785 4006 4060 5299 6056 7570 8012 8120 10015 10598 14021 15140 16024 20030 21196 21953 26495 28042 30280 40060 42392 43906 52990 56084 58087 70105 80120 87812 105980 109765 112168 116174 140210 153671 175624 211960 219530 232348 280420 290435 307342 406609 439060 464696 560840 580870 614684 768355 813218 878120 1161740 1229368 1516271 1536710 1626436 2033045 2323480 3032542 3073420 3252872 4066090 6065084 6146840 7581355 8132180 10613897 12130168 15162710 16264360 21227794 30325420 42455588 43971859 53069485 60650840 84911176 87943718 106138970 175887436 212277940 219859295 307803013 351774872 424555880 439718590 615606026 879437180 1231212052 1539015065 1758874360 2462424104 3078030130 6156060260 12312120520