22020288307200 has 1176 divisors, whose sum is σ = 82906070187528. Its totient is φ = 5798064291840.

The previous prime is 22020288307169. The next prime is 22020288307229. The reversal of 22020288307200 is 270388202022.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 12391832712 + ... + 12391834488.

It is an arithmetic number, because the mean of its divisors is an integer number (70498359003).

Almost surely, 2^{22020288307200} is an apocalyptic number.

22020288307200 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 22020288307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41453035093764).

22020288307200 is an abundant number, since it is smaller than the sum of its proper divisors (60885781880328).

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

22020288307200 is an frugal number, since it uses more digits than its factorization.

22020288307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 22020288307200 in words is "twenty-two trillion, twenty billion, two hundred eighty-eight million, three hundred seven thousand, two hundred".