12640321200 has 360 divisors, whose sum is σ = 44235875568. Its totient is φ = 3083857920.

The previous prime is 12640321193. The next prime is 12640321217. The reversal of 12640321200 is 212304621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31839402 + ... + 31839798.

Almost surely, 2^12640321200 is an apocalyptic number.

12640321200 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 12640321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117937784).

12640321200 is an abundant number, since it is smaller than the sum of its proper divisors (31595554368).

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

12640321200 is a wasteful number, since it uses less digits than its factorization.

12640321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12640321200 its reverse (212304621), we get a palindrome (12852625821).

The spelling of 12640321200 in words is "twelve billion, six hundred forty million, three hundred twenty-one thousand, two hundred".