12007266720 has 192 divisors, whose sum is σ = 39961797120. Its totient is φ = 3025584128.

The previous prime is 12007266709. The next prime is 12007266757. The reversal of 12007266720 is 2766270021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645064 + ... + 663416.

It is an arithmetic number, because the mean of its divisors is an integer number (208134360).

Almost surely, 2^12007266720 is an apocalyptic number.

12007266720 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 12007266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980898560).

12007266720 is an abundant number, since it is smaller than the sum of its proper divisors (27954530400).

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

12007266720 is a wasteful number, since it uses less digits than its factorization.

12007266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18447 (or 18439 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12007266720 in words is "twelve billion, seven million, two hundred sixty-six thousand, seven hundred twenty".