12288136896 has 504 divisors, whose sum is σ = 43239029600. Its totient is φ = 3332689920.

The previous prime is 12288136891. The next prime is 12288136901. The reversal of 12288136896 is 69863188221.

It is an interprime number because it is at equal distance from previous prime (12288136891) and next prime (12288136901).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (12288136891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299710636 + ... + 299710676.

Almost surely, 2^12288136896 is an apocalyptic number.

12288136896 is a gapful number since it is divisible by the number (16) 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 12288136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21619514800).

12288136896 is an abundant number, since it is smaller than the sum of its proper divisors (30950892704).

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

12288136896 is an equidigital number, since it uses as much as digits as its factorization.

12288136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 90 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 12288136896 in words is "twelve billion, two hundred eighty-eight million, one hundred thirty-six thousand, eight hundred ninety-six".