12071928960 has 768 divisors, whose sum is σ = 53268284160. Its totient is φ = 2544058368.

The previous prime is 12071928959. The next prime is 12071928983. The reversal of 12071928960 is 6982917021.

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

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 95 ways as a sum of consecutive naturals, for example, 14151894 + ... + 14152746.

It is an arithmetic number, because the mean of its divisors is an integer number (69359745).

Almost surely, 2^12071928960 is an apocalyptic number.

12071928960 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 12071928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26634142080).

12071928960 is an abundant number, since it is smaller than the sum of its proper divisors (41196355200).

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

12071928960 is an equidigital number, since it uses as much as digits as its factorization.

12071928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12071928960 in words is "twelve billion, seventy-one million, nine hundred twenty-eight thousand, nine hundred sixty".