8112427200 has 504 divisors, whose sum is σ = 31543873920. Its totient is φ = 1968537600.

The previous prime is 8112427123. The next prime is 8112427223. The reversal of 8112427200 is 27242118.

It is a super-2 number, since 2×8112427200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7588266 + ... + 7589334.

Almost surely, 2^8112427200 is an apocalyptic number.

8112427200 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 8112427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15771936960).

8112427200 is an abundant number, since it is smaller than the sum of its proper divisors (23431446720).

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

8112427200 is a wasteful number, since it uses less digits than its factorization.

8112427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8112427200 is about 90069.0135396186. The cubic root of 8112427200 is about 2009.3253843565.

Adding to 8112427200 its reverse (27242118), we get a palindrome (8139669318).

The spelling of 8112427200 in words is "eight billion, one hundred twelve million, four hundred twenty-seven thousand, two hundred".