8121027200 has 192 divisors, whose sum is σ = 23570053920. Its totient is φ = 2725785600.

The previous prime is 8121027163. The next prime is 8121027217. The reversal of 8121027200 is 27201218.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448727 + ... + 466473.

Almost surely, 2^8121027200 is an apocalyptic number.

8121027200 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 8121027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785026960).

8121027200 is an abundant number, since it is smaller than the sum of its proper divisors (15449026720).

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

8121027200 is a wasteful number, since it uses less digits than its factorization.

8121027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 8121027200 is about 90116.7420627266. The cubic root of 8121027200 is about 2010.0351635309.

Adding to 8121027200 its reverse (27201218), we get a palindrome (8148228418).

The spelling of 8121027200 in words is "eight billion, one hundred twenty-one million, twenty-seven thousand, two hundred".