20002022122200 has 192 divisors, whose sum is σ = 65885697509760. Its totient is φ = 5002375710720.

The previous prime is 20002022122123. The next prime is 20002022122213. The reversal of 20002022122200 is 222122020002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20002022122200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 578034 + ... + 6351233.

It is an arithmetic number, because the mean of its divisors is an integer number (343154674530).

Almost surely, 2^{20002022122200} is an apocalyptic number.

20002022122200 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 20002022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32942848754880).

20002022122200 is an abundant number, since it is smaller than the sum of its proper divisors (45883675387560).

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

20002022122200 is a wasteful number, since it uses less digits than its factorization.

20002022122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929586 (or 6929577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20002022122200 its reverse (222122020002), we get a palindrome (20224144142202).

The spelling of 20002022122200 in words is "twenty trillion, two billion, twenty-two million, one hundred twenty-two thousand, two hundred".