8120018000 has 40 divisors (see below), whose sum is σ = 19634208360. Its totient is φ = 3248006400.

The previous prime is 8120017999. The next prime is 8120018017. The reversal of 8120018000 is 8100218.

It can be written as a sum of positive squares in 4 ways, for example, as 820707904 + 7299310096 = 28648^2 + 85436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028005 + ... + 2032004.

It is an arithmetic number, because the mean of its divisors is an integer number (490855209).

Almost surely, 2^8120018000 is an apocalyptic number.

8120018000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8120018000 is an abundant number, since it is smaller than the sum of its proper divisors (11514190360).

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

8120018000 is a wasteful number, since it uses less digits than its factorization.

8120018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060032 (or 4060016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 8120018000 is about 90111.1424852665. The cubic root of 8120018000 is about 2009.9518977292.

Adding to 8120018000 its reverse (8100218), we get a palindrome (8128118218).

The spelling of 8120018000 in words is "eight billion, one hundred twenty million, eighteen thousand".