8001248000 has 144 divisors (see below), whose sum is σ = 20263807200. Its totient is φ = 3147264000.

The previous prime is 8001247997. The next prime is 8001248009. The reversal of 8001248000 is 8421008.

It is not an unprimeable number, because it can be changed into a prime (8001248009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949951 + ... + 1954049.

Almost surely, 2^8001248000 is an apocalyptic number.

8001248000 is a gapful number since it is divisible by the number (80) 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 8001248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131903600).

8001248000 is an abundant number, since it is smaller than the sum of its proper divisors (12262559200).

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

8001248000 is an equidigital number, since it uses as much as digits as its factorization.

8001248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 8001248000 is about 89449.6953600179. The cubic root of 8001248000 is about 2000.1039945925.

Adding to 8001248000 its reverse (8421008), we get a palindrome (8009669008).

The spelling of 8001248000 in words is "eight billion, one million, two hundred forty-eight thousand".