12095032320 has 704 divisors, whose sum is σ = 50935910400. Its totient is φ = 2663055360.

The previous prime is 12095032309. The next prime is 12095032363. The reversal of 12095032320 is 2323059021.

12095032320 is a `hidden beast` number, since 120 + 9 + 503 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 28062505 + ... + 28062935.

Almost surely, 2^12095032320 is an apocalyptic number.

12095032320 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 12095032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467955200).

12095032320 is an abundant number, since it is smaller than the sum of its proper divisors (38840878080).

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

12095032320 is a wasteful number, since it uses less digits than its factorization.

12095032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 12095032320 in words is "twelve billion, ninety-five million, thirty-two thousand, three hundred twenty".