12001191888 has 320 divisors, whose sum is σ = 38568960000. Its totient is φ = 3138035712.

The previous prime is 12001191883. The next prime is 12001191893. The reversal of 12001191888 is 88819110021.

It is an interprime number because it is at equal distance from previous prime (12001191883) and next prime (12001191893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001191883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50214073 + ... + 50214311.

It is an arithmetic number, because the mean of its divisors is an integer number (120528000).

Almost surely, 2^12001191888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001191888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480000).

12001191888 is an abundant number, since it is smaller than the sum of its proper divisors (26567768112).

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

12001191888 is a wasteful number, since it uses less digits than its factorization.

12001191888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 39.

The spelling of 12001191888 in words is "twelve billion, one million, one hundred ninety-one thousand, eight hundred eighty-eight".