2122020002000 has 160 divisors (see below), whose sum is σ = 5438140999200. Its totient is φ = 798103142400.

The previous prime is 2122020001979. The next prime is 2122020002027. The reversal of 2122020002000 is 2000202212.

It can be written as a sum of positive squares in 16 ways, for example, as 621208796224 + 1500811205776 = 788168^2 + 1225076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35636252 + ... + 35695748.

It is an arithmetic number, because the mean of its divisors is an integer number (33988381245).

Almost surely, 2^{2122020002000} is an apocalyptic number.

2122020002000 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 2122020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719070499600).

2122020002000 is an abundant number, since it is smaller than the sum of its proper divisors (3316120997200).

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

2122020002000 is a wasteful number, since it uses less digits than its factorization.

2122020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60586 (or 60570 counting only the distinct ones).

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

Adding to 2122020002000 its reverse (2000202212), we get a palindrome (2124020204212).

The spelling of 2122020002000 in words is "two trillion, one hundred twenty-two billion, twenty million, two thousand".