12643200000 has 396 divisors, whose sum is σ = 45734729040. Its totient is φ = 3363840000.

The previous prime is 12643199993. The next prime is 12643200007. The reversal of 12643200000 is 234621.

It is a happy number.

12643200000 is a `hidden beast` number, since 1 + 2 + 643 + 20 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12643199993) and next prime (12643200007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643200007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28799781 + ... + 28800219.

It is an arithmetic number, because the mean of its divisors is an integer number (115491740).

Almost surely, 2^12643200000 is an apocalyptic number.

12643200000 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 12643200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867364520).

12643200000 is an abundant number, since it is smaller than the sum of its proper divisors (33091529040).

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

12643200000 is an frugal number, since it uses more digits than its factorization.

12643200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12643200000 its reverse (234621), we get a palindrome (12643434621).

The spelling of 12643200000 in words is "twelve billion, six hundred forty-three million, two hundred thousand".