8282112000 has 272 divisors, whose sum is σ = 27644446752. Its totient is φ = 2202009600.

The previous prime is 8282111987. The next prime is 8282112023. The reversal of 8282112000 is 2112828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575832 + ... + 24576168.

Almost surely, 2^8282112000 is an apocalyptic number.

8282112000 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 8282112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822223376).

8282112000 is an abundant number, since it is smaller than the sum of its proper divisors (19362334752).

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

8282112000 is an frugal number, since it uses more digits than its factorization.

8282112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8282112000 is about 91006.1096850096. The cubic root of 8282112000 is about 2023.2382787765.

Adding to 8282112000 its reverse (2112828), we get a palindrome (8284224828).

The spelling of 8282112000 in words is "eight billion, two hundred eighty-two million, one hundred twelve thousand".