12007948800 has 480 divisors, whose sum is σ = 42196049280. Its totient is φ = 3004825600.

The previous prime is 12007948783. The next prime is 12007948801. The reversal of 12007948800 is 884970021.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (12007948801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45657469 + ... + 45657731.

It is an arithmetic number, because the mean of its divisors is an integer number (87908436).

Almost surely, 2^12007948800 is an apocalyptic number.

12007948800 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 12007948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21098024640).

12007948800 is an abundant number, since it is smaller than the sum of its proper divisors (30188100480).

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

12007948800 is a wasteful number, since it uses less digits than its factorization.

12007948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 12007948800 in words is "twelve billion, seven million, nine hundred forty-eight thousand, eight hundred".