12011646000 has 160 divisors (see below), whose sum is σ = 38834085888. Its totient is φ = 3194131200.

The previous prime is 12011645999. The next prime is 12011646001. The reversal of 12011646000 is 64611021.

12011646000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12011645999) and next prime (12011646001).

It is not an unprimeable number, because it can be changed into a prime (12011646001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295387 + ... + 2300613.

Almost surely, 2^12011646000 is an apocalyptic number.

12011646000 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 12011646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417042944).

12011646000 is an abundant number, since it is smaller than the sum of its proper divisors (26822439888).

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

12011646000 is a wasteful number, since it uses less digits than its factorization.

12011646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 12011646000 in words is "twelve billion, eleven million, six hundred forty-six thousand".