2020121221200 has 120 divisors (see below), whose sum is σ = 6471530066400. Its totient is φ = 538664993280.

The previous prime is 2020121221199. The next prime is 2020121221277. The reversal of 2020121221200 is 21221210202.

It is a tau number, because it is divible by the number of its divisors (120).

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 2020121221200.

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 23 ways as a sum of consecutive naturals, for example, 23211366 + ... + 23298234.

It is an arithmetic number, because the mean of its divisors is an integer number (53929417220).

Almost surely, 2^{2020121221200} is an apocalyptic number.

2020121221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020121221200 is an abundant number, since it is smaller than the sum of its proper divisors (4451408845200).

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

2020121221200 is a wasteful number, since it uses less digits than its factorization.

2020121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106269 (or 106258 counting only the distinct ones).

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

Adding to 2020121221200 its reverse (21221210202), we get a palindrome (2041342431402).

The spelling of 2020121221200 in words is "two trillion, twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".