8003112000 has 448 divisors, whose sum is σ = 28837396224. Its totient is φ = 1943961600.

The previous prime is 8003111971. The next prime is 8003112041. The reversal of 8003112000 is 2113008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 35255887 + ... + 35256113.

It is an arithmetic number, because the mean of its divisors is an integer number (64369188).

Almost surely, 2^8003112000 is an apocalyptic number.

8003112000 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 8003112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418698112).

8003112000 is an abundant number, since it is smaller than the sum of its proper divisors (20834284224).

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

8003112000 is a wasteful number, since it uses less digits than its factorization.

8003112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8003112000 is about 89460.1140173653. The cubic root of 8003112000 is about 2000.2592997137.

Adding to 8003112000 its reverse (2113008), we get a palindrome (8005225008).

The spelling of 8003112000 in words is "eight billion, three million, one hundred twelve thousand".