2020122211200 has 384 divisors, whose sum is σ = 6883655533920. Its totient is φ = 520301445120.

The previous prime is 2020122211181. The next prime is 2020122211259. The reversal of 2020122211200 is 21122210202.

It is a tau number, because it is divible by the number of its divisors (384).

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 2020122211200.

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, 48641644 + ... + 48683156.

Almost surely, 2^{2020122211200} is an apocalyptic number.

2020122211200 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 2020122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441827766960).

2020122211200 is an abundant number, since it is smaller than the sum of its proper divisors (4863533322720).

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

2020122211200 is a wasteful number, since it uses less digits than its factorization.

2020122211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41714 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2020122211200 its reverse (21122210202), we get a palindrome (2041244421402).

It can be divided in two parts, 2020122 and 211200, that added together give a palindrome (2231322).

The spelling of 2020122211200 in words is "two trillion, twenty billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".