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12110233120 = 255329922943
BaseRepresentation
bin10110100011101001…
…10111111000100000
31011020222112120202121
423101310313320200
5144300204424440
65321404154024
7606050166046
oct132164677040
934228476677
1012110233120
115154a02427
12241b838914
1311acc4c01b
1482c514396
154ad29734a
hex2d1d37e20

12110233120 has 48 divisors (see below), whose sum is σ = 28620345600. Its totient is φ = 4842413824.

The previous prime is 12110233103. The next prime is 12110233123. The reversal of 12110233120 is 2133201121.

12110233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12110233094 and 12110233103.

It is not an unprimeable number, because it can be changed into a prime (12110233123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 516369 + ... + 539311.

It is an arithmetic number, because the mean of its divisors is an integer number (596257200).

Almost surely, 212110233120 is an apocalyptic number.

12110233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110233120 is an abundant number, since it is smaller than the sum of its proper divisors (16510112480).

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

12110233120 is a wasteful number, since it uses less digits than its factorization.

12110233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26257 (or 26249 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12110233120 its reverse (2133201121), we get a palindrome (14243434241).

The spelling of 12110233120 in words is "twelve billion, one hundred ten million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3299 6598 13196 16495 22943 26392 32990 45886 52784 65980 91772 105568 114715 131960 183544 229430 263920 367088 458860 527840 734176 917720 1835440 3670880 75688957 151377914 302755828 378444785 605511656 756889570 1211023312 1513779140 2422046624 3027558280 6055116560 12110233120