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12434203200 = 263526613919
BaseRepresentation
bin10111001010010001…
…01110001001000000
31012002120010222011110
423211020232021000
5200431124000300
65413500043320
7620062661166
oct134510561100
935076128143
1012434203200
1153008689a1
1224b0233540
1312320c02b3
1485d567236
154cb93d550
hex2e522e240

12434203200 has 168 divisors, whose sum is σ = 40866689920. Its totient is φ = 3309926400.

The previous prime is 12434203181. The next prime is 12434203303. The reversal of 12434203200 is 230243421.

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 23 ways as a sum of consecutive naturals, for example, 3170841 + ... + 3174759.

Almost surely, 212434203200 is an apocalyptic number.

12434203200 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 12434203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20433344960).

12434203200 is an abundant number, since it is smaller than the sum of its proper divisors (28432486720).

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

12434203200 is a wasteful number, since it uses less digits than its factorization.

12434203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12434203200 its reverse (230243421), we get a palindrome (12664446621).

The spelling of 12434203200 in words is "twelve billion, four hundred thirty-four million, two hundred three thousand, two hundred".