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12424350000 = 24355113733
BaseRepresentation
bin10111001001000110…
…01000100100110000
31012001212121101010010
423210203020210300
5200421113200000
65412504534520
7616613142516
oct134443104460
935055541103
1012424350000
1152a6249057
1224a8a81440
1312300504ba
1485c1204b6
154cab43d50
hex2e48c8930

12424350000 has 240 divisors, whose sum is σ = 40527968544. Its totient is φ = 3279360000.

The previous prime is 12424349981. The next prime is 12424350011. The reversal of 12424350000 is 5342421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16949634 + ... + 16950366.

Almost surely, 212424350000 is an apocalyptic number.

12424350000 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 12424350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263984272).

12424350000 is an abundant number, since it is smaller than the sum of its proper divisors (28103618544).

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

12424350000 is an equidigital number, since it uses as much as digits as its factorization.

12424350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 12424350000 its reverse (5342421), we get a palindrome (12429692421).

The spelling of 12424350000 in words is "twelve billion, four hundred twenty-four million, three hundred fifty thousand".