12056056320 has 1280 divisors, whose sum is σ = 53739417600. Its totient is φ = 2229534720.

The previous prime is 12056056297. The next prime is 12056056387. The reversal of 12056056320 is 2365065021.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 325839342 + ... + 325839378.

It is an arithmetic number, because the mean of its divisors is an integer number (41983920).

Almost surely, 2^12056056320 is an apocalyptic number.

12056056320 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 12056056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869708800).

12056056320 is an abundant number, since it is smaller than the sum of its proper divisors (41683361280).

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

12056056320 is a wasteful number, since it uses less digits than its factorization.

12056056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 12056056320 in words is "twelve billion, fifty-six million, fifty-six thousand, three hundred twenty".