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12324112410000 = 243541792294993
BaseRepresentation
bin1011001101010110111001…
…0101111010010110010000
31121122011200120202110202210
42303111232111322112100
53103404240234110000
642113341415512120
72411246665025316
oct263255625722620
947564616673683
1012324112410000
113a21699191676
1214705b4388640
136b520abb4b01
143086c125c0b6
151658a23c7350
hexb356e57a590

12324112410000 has 200 divisors, whose sum is σ = 40006151808480. Its totient is φ = 3268068608000.

The previous prime is 12324112409927. The next prime is 12324112410011. The reversal of 12324112410000 is 1421142321.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4222504 + ... + 6517496.

Almost surely, 212324112410000 is an apocalyptic number.

12324112410000 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 12324112410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003075904240).

12324112410000 is an abundant number, since it is smaller than the sum of its proper divisors (27682039398480).

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

12324112410000 is a wasteful number, since it uses less digits than its factorization.

12324112410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295203 (or 2295182 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12324112410000 its reverse (1421142321), we get a palindrome (12325533552321).

The spelling of 12324112410000 in words is "twelve trillion, three hundred twenty-four billion, one hundred twelve million, four hundred ten thousand".