8002121000 has 96 divisors (see below), whose sum is σ = 19891942200. Its totient is φ = 3012454400.

The previous prime is 8002120999. The next prime is 8002121033. The reversal of 8002121000 is 1212008.

It can be written as a sum of positive squares in 12 ways, for example, as 227466724 + 7774654276 = 15082^2 + 88174^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275156 + ... + 302844.

Almost surely, 2^8002121000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945971100).

8002121000 is an abundant number, since it is smaller than the sum of its proper divisors (11889821200).

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

8002121000 is a wasteful number, since it uses less digits than its factorization.

8002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27744 (or 27713 counting only the distinct ones).

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

The square root of 8002121000 is about 89454.5750646662. The cubic root of 8002121000 is about 2000.1767343820.

Adding to 8002121000 its reverse (1212008), we get a palindrome (8003333008).

The spelling of 8002121000 in words is "eight billion, two million, one hundred twenty-one thousand".