2002020122000 has 160 divisors (see below), whose sum is σ = 4926359692800. Its totient is φ = 786700992000.

The previous prime is 2002020121961. The next prime is 2002020122077. The reversal of 2002020122000 is 2210202002.

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 31 ways as a sum of consecutive naturals, for example, 102348221 + ... + 102367779.

It is an arithmetic number, because the mean of its divisors is an integer number (30789748080).

Almost surely, 2^{2002020122000} is an apocalyptic number.

2002020122000 is a gapful number since it is divisible by the number (20) 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 2002020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463179846400).

2002020122000 is an abundant number, since it is smaller than the sum of its proper divisors (2924339570800).

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

2002020122000 is a wasteful number, since it uses less digits than its factorization.

2002020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20482 (or 20466 counting only the distinct ones).

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

Adding to 2002020122000 its reverse (2210202002), we get a palindrome (2004230324002).

The spelling of 2002020122000 in words is "two trillion, two billion, twenty million, one hundred twenty-two thousand".