20222332200000 has 1008 divisors, whose sum is σ = 85656652623360. Its totient is φ = 4462778880000.

The previous prime is 20222332199983. The next prime is 20222332200013. The reversal of 20222332200000 is 223322202.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 365372329 + ... + 365427671.

It is an arithmetic number, because the mean of its divisors is an integer number (84976837920).

Almost surely, 2^{20222332200000} is an apocalyptic number.

20222332200000 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 20222332200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42828326311680).

20222332200000 is an abundant number, since it is smaller than the sum of its proper divisors (65434320423360).

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

20222332200000 is an equidigital number, since it uses as much as digits as its factorization.

20222332200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55422 (or 55389 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20222332200000 its reverse (223322202), we get a palindrome (20222555522202).

The spelling of 20222332200000 in words is "twenty trillion, two hundred twenty-two billion, three hundred thirty-two million, two hundred thousand".