2002002122000 has 40 divisors (see below), whose sum is σ = 4840841135832. Its totient is φ = 800800848000.

The previous prime is 2002002121981. The next prime is 2002002122023. The reversal of 2002002122000 is 2212002002.

It can be written as a sum of positive squares in 4 ways, for example, as 469833477136 + 1532168644864 = 685444^2 + 1237808^2 .

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

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, 500498531 + ... + 500502530.

Almost surely, 2^{2002002122000} is an apocalyptic number.

2002002122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002002122000 is an abundant number, since it is smaller than the sum of its proper divisors (2838839013832).

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

2002002122000 is a wasteful number, since it uses less digits than its factorization.

2002002122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001001084 (or 1001001068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002002122000 its reverse (2212002002), we get a palindrome (2004214124002).

The spelling of 2002002122000 in words is "two trillion, two billion, two million, one hundred twenty-two thousand".