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12343232000 = 29531189197
BaseRepresentation
bin10110111111011011…
…01100011000000000
31011212012222011010202
423133231230120000
5200234331411000
65400450144332
7614606512061
oct133755543000
934765864122
1012343232000
115264483990
1224858820a8
1312192bb298
14851446568
154c396ddd5
hex2dfb6c600

12343232000 has 320 divisors, whose sum is σ = 34126297920. Its totient is φ = 4415488000.

The previous prime is 12343231993. The next prime is 12343232009. The reversal of 12343232000 is 23234321.

12343232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343232009) 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 31 ways as a sum of consecutive naturals, for example, 62655902 + ... + 62656098.

It is an arithmetic number, because the mean of its divisors is an integer number (106644681).

Almost surely, 212343232000 is an apocalyptic number.

12343232000 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 12343232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063148960).

12343232000 is an abundant number, since it is smaller than the sum of its proper divisors (21783065920).

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

12343232000 is an equidigital number, since it uses as much as digits as its factorization.

12343232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12343232000 its reverse (23234321), we get a palindrome (12366466321).

The spelling of 12343232000 in words is "twelve billion, three hundred forty-three million, two hundred thirty-two thousand".