12888416500 has 48 divisors (see below), whose sum is σ = 28161740880. Its totient is φ = 5152905600.

The previous prime is 12888416473. The next prime is 12888416507. The reversal of 12888416500 is 561488821.

It can be written as a sum of positive squares in 8 ways, for example, as 3967236196 + 8921180304 = 62986^2 + 94452^2 .

It is a super-2 number, since 2×12888416500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888416507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1333686 + ... + 1343314.

It is an arithmetic number, because the mean of its divisors is an integer number (586702935).

Almost surely, 2^12888416500 is an apocalyptic number.

12888416500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12888416500 is an abundant number, since it is smaller than the sum of its proper divisors (15273324380).

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

12888416500 is a wasteful number, since it uses less digits than its factorization.

12888416500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 12888416500 in words is "twelve billion, eight hundred eighty-eight million, four hundred sixteen thousand, five hundred".