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12428000000 = 285613239
BaseRepresentation
bin10111001001100010…
…00011101100000000
31012002010110210222022
423210301003230000
5200423032000000
65413115101012
7616656154103
oct134461035400
935063423868
1012428000000
1152a8311389
1224aa141768
131230a2a970
1485c7d073a
154cb115585
hex2e4c43b00

12428000000 has 252 divisors, whose sum is σ = 33533945760. Its totient is φ = 4569600000.

The previous prime is 12427999981. The next prime is 12428000017. The reversal of 12428000000 is 82421.

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 27 ways as a sum of consecutive naturals, for example, 51999881 + ... + 52000119.

Almost surely, 212428000000 is an apocalyptic number.

12428000000 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 12428000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766972880).

12428000000 is an abundant number, since it is smaller than the sum of its proper divisors (21105945760).

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

12428000000 is an frugal number, since it uses more digits than its factorization.

12428000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12428000000 its reverse (82421), we get a palindrome (12428082421).

The spelling of 12428000000 in words is "twelve billion, four hundred twenty-eight million", and thus it is an aban number.