20200001221120 has 320 divisors, whose sum is σ = 56841376204800. Its totient is φ = 6881554907136.

The previous prime is 20200001221063. The next prime is 20200001221139. The reversal of 20200001221120 is 2112210000202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×20200001221120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20200001221120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137785297 + ... + 137931823.

It is an arithmetic number, because the mean of its divisors is an integer number (177629300640).

Almost surely, 2^{20200001221120} is an apocalyptic number.

20200001221120 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 20200001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28420688102400).

20200001221120 is an abundant number, since it is smaller than the sum of its proper divisors (36641374983680).

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

20200001221120 is an equidigital number, since it uses as much as digits as its factorization.

20200001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146728 (or 146698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20200001221120 its reverse (2112210000202), we get a palindrome (22312211221322).

The spelling of 20200001221120 in words is "twenty trillion, two hundred billion, one million, two hundred twenty-one thousand, one hundred twenty".