12191368320 has 384 divisors, whose sum is σ = 43969947840. Its totient is φ = 3227848704.

The previous prime is 12191368309. The next prime is 12191368333. The reversal of 12191368320 is 2386319121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43078899 + ... + 43079181.

Almost surely, 2^12191368320 is an apocalyptic number.

12191368320 is a gapful number since it is divisible by the number (10) 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 12191368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984973920).

12191368320 is an abundant number, since it is smaller than the sum of its proper divisors (31778579520).

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

12191368320 is an equidigital number, since it uses as much as digits as its factorization.

12191368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12191368320 in words is "twelve billion, one hundred ninety-one million, three hundred sixty-eight thousand, three hundred twenty".