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12326130432 = 2832711176167
BaseRepresentation
bin10110111101011000…
…11101001100000000
31011211000210022012100
423132230131030000
5200220442133212
65355035430400
7614311244220
oct133654351400
934730708170
1012326130432
115255863260
12247bbb5400
1312158b1205
1484d074080
154c21e1bdc
hex2deb1d300

12326130432 has 864 divisors, whose sum is σ = 48395902464. Its totient is φ = 2919628800.

The previous prime is 12326130419. The next prime is 12326130437. The reversal of 12326130432 is 23403162321.

12326130432 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 613 + 0 + 43 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12326130396 and 12326130405.

It is not an unprimeable number, because it can be changed into a prime (12326130437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183972063 + ... + 183972129.

It is an arithmetic number, because the mean of its divisors is an integer number (56013776).

Almost surely, 212326130432 is an apocalyptic number.

12326130432 is a gapful number since it is divisible by the number (12) 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 12326130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24197951232).

12326130432 is an abundant number, since it is smaller than the sum of its proper divisors (36069772032).

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

12326130432 is a wasteful number, since it uses less digits than its factorization.

12326130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12326130432 its reverse (23403162321), we get a palindrome (35729292753).

The spelling of 12326130432 in words is "twelve billion, three hundred twenty-six million, one hundred thirty thousand, four hundred thirty-two".