12521148288 has 128 divisors (see below), whose sum is σ = 36473241600. Its totient is φ = 3774382080.

The previous prime is 12521148191. The next prime is 12521148307. The reversal of 12521148288 is 88284112521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807553 + ... + 822911.

It is an arithmetic number, because the mean of its divisors is an integer number (284947200).

Almost surely, 2^12521148288 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 12521148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236620800).

12521148288 is an abundant number, since it is smaller than the sum of its proper divisors (23952093312).

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

12521148288 is a wasteful number, since it uses less digits than its factorization.

12521148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15580 (or 15568 counting only the distinct ones).

The product of its digits is 81920, while the sum is 42.

The spelling of 12521148288 in words is "twelve billion, five hundred twenty-one million, one hundred forty-eight thousand, two hundred eighty-eight".