8021012000 has 192 divisors, whose sum is σ = 20356697088. Its totient is φ = 3104640000.

The previous prime is 8021011987. The next prime is 8021012023. The reversal of 8021012000 is 2101208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17323769 + ... + 17324231.

It is an arithmetic number, because the mean of its divisors is an integer number (106024464).

Almost surely, 2^8021012000 is an apocalyptic number.

8021012000 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 8021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178348544).

8021012000 is an abundant number, since it is smaller than the sum of its proper divisors (12335685088).

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

8021012000 is a wasteful number, since it uses less digits than its factorization.

8021012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 8021012000 is about 89560.1027243716. The cubic root of 8021012000 is about 2001.7494692325.

Adding to 8021012000 its reverse (2101208), we get a palindrome (8023113208).

The spelling of 8021012000 in words is "eight billion, twenty-one million, twelve thousand".