20222020002000 has 160 divisors (see below), whose sum is σ = 65233446220800. Its totient is φ = 5389424217600.

The previous prime is 20222020001999. The next prime is 20222020002007. The reversal of 20222020002000 is 20002022202.

It is a super-2 number, since 2×20222020002000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222020002007) by changing a digit.

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, 9425601 + ... + 11370399.

It is an arithmetic number, because the mean of its divisors is an integer number (407709038880).

Almost surely, 2^{20222020002000} is an apocalyptic number.

20222020002000 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 20222020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32616723110400).

20222020002000 is an abundant number, since it is smaller than the sum of its proper divisors (45011426218800).

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

20222020002000 is a wasteful number, since it uses less digits than its factorization.

20222020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946558 (or 1946542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20222020002000 its reverse (20002022202), we get a palindrome (20242022024202).

The spelling of 20222020002000 in words is "twenty trillion, two hundred twenty-two billion, twenty million, two thousand".