12888337728 has 112 divisors (see below), whose sum is σ = 39176699904. Its totient is φ = 3663029760.

The previous prime is 12888337727. The next prime is 12888337729. The reversal of 12888337728 is 82773388821.

It is an interprime number because it is at equal distance from previous prime (12888337727) and next prime (12888337729).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12888337728² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888337727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231601 + ... + 281807.

Almost surely, 2^12888337728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12888337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588349952).

12888337728 is an abundant number, since it is smaller than the sum of its proper divisors (26288362176).

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

12888337728 is a wasteful number, since it uses less digits than its factorization.

12888337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50420 (or 50410 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The spelling of 12888337728 in words is "twelve billion, eight hundred eighty-eight million, three hundred thirty-seven thousand, seven hundred twenty-eight".