12095788320 has 1920 divisors, whose sum is σ = 60699082752. Its totient is φ = 2189721600.

The previous prime is 12095788301. The next prime is 12095788333. The reversal of 12095788320 is 2388759021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 390186705 + ... + 390186735.

Almost surely, 2^12095788320 is an apocalyptic number.

12095788320 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 12095788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30349541376).

12095788320 is an abundant number, since it is smaller than the sum of its proper divisors (48603294432).

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

12095788320 is a wasteful number, since it uses less digits than its factorization.

12095788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12095788320 in words is "twelve billion, ninety-five million, seven hundred eighty-eight thousand, three hundred twenty".