12888000000 has 420 divisors, whose sum is σ = 46753698420. Its totient is φ = 3417600000.

The previous prime is 12887999989. The next prime is 12888000001. The reversal of 12888000000 is 88821.

It is a super-2 number, since 2×12888000000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71999911 + ... + 72000089.

Almost surely, 2^12888000000 is an apocalyptic number.

12888000000 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 12888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376849210).

12888000000 is an abundant number, since it is smaller than the sum of its proper divisors (33865698420).

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

12888000000 is an frugal number, since it uses more digits than its factorization.

12888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 12888000000 its reverse (88821), we get a palindrome (12888088821).

The spelling of 12888000000 in words is "twelve billion, eight hundred eighty-eight million", and thus it is an aban number.