8212224000 has 576 divisors, whose sum is σ = 29809896480. Its totient is φ = 2005401600.

The previous prime is 8212223993. The next prime is 8212224029. The reversal of 8212224000 is 4222128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221951982 + ... + 221952018.

Almost surely, 2^8212224000 is an apocalyptic number.

8212224000 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 8212224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904948240).

8212224000 is an abundant number, since it is smaller than the sum of its proper divisors (21597672480).

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

8212224000 is a wasteful number, since it uses less digits than its factorization.

8212224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8212224000 is about 90621.3219943298. The cubic root of 8212224000 is about 2017.5312126169.

Adding to 8212224000 its reverse (4222128), we get a palindrome (8216446128).

The spelling of 8212224000 in words is "eight billion, two hundred twelve million, two hundred twenty-four thousand".