20302220323200 has 192 divisors, whose sum is σ = 67085465541120. Its totient is φ = 5396516505600.

The previous prime is 20302220323141. The next prime is 20302220323267. The reversal of 20302220323200 is 232302220302.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20302220323200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414424 + ... + 6385623.

It is an arithmetic number, because the mean of its divisors is an integer number (349403466360).

Almost surely, 2^{20302220323200} is an apocalyptic number.

20302220323200 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 20302220323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33542732770560).

20302220323200 is an abundant number, since it is smaller than the sum of its proper divisors (46783245217920).

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

20302220323200 is a wasteful number, since it uses less digits than its factorization.

20302220323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800385 (or 6800368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 20302220323200 its reverse (232302220302), we get a palindrome (20534522543502).

The spelling of 20302220323200 in words is "twenty trillion, three hundred two billion, two hundred twenty million, three hundred twenty-three thousand, two hundred".