12191231584 has 96 divisors (see below), whose sum is σ = 28436788800. Its totient is φ = 5033871360.

The previous prime is 12191231531. The next prime is 12191231587. The reversal of 12191231584 is 48513219121.

It is a super-3 number, since 3×12191231584³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191231587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3512602 + ... + 3516070.

It is an arithmetic number, because the mean of its divisors is an integer number (296216550).

Almost surely, 2^12191231584 is an apocalyptic number.

12191231584 is a gapful number since it is divisible by the number (14) 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 12191231584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218394400).

12191231584 is an abundant number, since it is smaller than the sum of its proper divisors (16245557216).

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

12191231584 is a wasteful number, since it uses less digits than its factorization.

12191231584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4048 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The spelling of 12191231584 in words is "twelve billion, one hundred ninety-one million, two hundred thirty-one thousand, five hundred eighty-four".