12584332096 has 42 divisors (see below), whose sum is σ = 29049108018. Its totient is φ = 5393283840.

The previous prime is 12584332081. The next prime is 12584332099. The reversal of 12584332096 is 69023348521.

It can be written as a sum of positive squares in only one way, i.e., 7534240000 + 5050092096 = 86800^2 + 71064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584332099) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2003295 + ... + 2009566.

It is an arithmetic number, because the mean of its divisors is an integer number (691645429).

Almost surely, 2^12584332096 is an apocalyptic number.

12584332096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12584332096 is an abundant number, since it is smaller than the sum of its proper divisors (16464775922).

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

12584332096 is an equidigital number, since it uses as much as digits as its factorization.

12584332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012887 (or 4012870 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 12584332096 in words is "twelve billion, five hundred eighty-four million, three hundred thirty-two thousand, ninety-six".