20200022211200 has 768 divisors, whose sum is σ = 55882542038400. Its totient is φ = 7167706398720.

The previous prime is 20200022211163. The next prime is 20200022211217. The reversal of 20200022211200 is 211222000202.

20200022211200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34064118104 + ... + 34064118696.

Almost surely, 2^{20200022211200} is an apocalyptic number.

20200022211200 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 20200022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941271019200).

20200022211200 is an abundant number, since it is smaller than the sum of its proper divisors (35682519827200).

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

20200022211200 is a wasteful number, since it uses less digits than its factorization.

20200022211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20200022211200 its reverse (211222000202), we get a palindrome (20411244211402).

The spelling of 20200022211200 in words is "twenty trillion, two hundred billion, twenty-two million, two hundred eleven thousand, two hundred".