12148032000 has 640 divisors, whose sum is σ = 45185107968. Its totient is φ = 2875392000.

The previous prime is 12148031977. The next prime is 12148032011. The reversal of 12148032000 is 23084121.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77375922 + ... + 77376078.

Almost surely, 2^12148032000 is an apocalyptic number.

12148032000 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 12148032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592553984).

12148032000 is an abundant number, since it is smaller than the sum of its proper divisors (33037075968).

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

12148032000 is a wasteful number, since it uses less digits than its factorization.

12148032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 12148032000 in words is "twelve billion, one hundred forty-eight million, thirty-two thousand".