209822420000 has 270 divisors, whose sum is σ = 535873956849. Its totient is φ = 80845440000.

The previous prime is 209822419987. The next prime is 209822420033. The reversal of 209822420000 is 24228902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 117986754064 + 91835665936 = 343492^2 + 303044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=323900.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2655979961 + ... + 2655980039.

Almost surely, 2^209822420000 is an apocalyptic number.

209822420000 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 209822420000

209822420000 is an abundant number, since it is smaller than the sum of its proper divisors (326051536849).

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

209822420000 is an frugal number, since it uses more digits than its factorization.

209822420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Multiplying 209822420000 by its product of nonzero digits (4608), we get a square (966861711360000 = 31094400²).

Adding to 209822420000 its reverse (24228902), we get a palindrome (209846648902).

The spelling of 209822420000 in words is "two hundred nine billion, eight hundred twenty-two million, four hundred twenty thousand".