20221200320000 has 200 divisors, whose sum is σ = 51241070152536. Its totient is φ = 7967748096000.

The previous prime is 20221200319963. The next prime is 20221200320021. The reversal of 20221200320000 is 2300212202.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20968424 + ... + 21911576.

Almost surely, 2^{20221200320000} is an apocalyptic number.

20221200320000 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 20221200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620535076268).

20221200320000 is an abundant number, since it is smaller than the sum of its proper divisors (31019869832536).

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

20221200320000 is an frugal number, since it uses more digits than its factorization.

20221200320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943258 (or 943227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20221200320000 its reverse (2300212202), we get a palindrome (20223500532202).

The spelling of 20221200320000 in words is "twenty trillion, two hundred twenty-one billion, two hundred million, three hundred twenty thousand".