201222022020000 has 240 divisors, whose sum is σ = 661310622735840. Its totient is φ = 53556598656000.

The previous prime is 201222022019981. The next prime is 201222022020011. The reversal of 201222022020000 is 20220222102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28173786 + ... + 34586214.

It is an arithmetic number, because the mean of its divisors is an integer number (2755460928066).

Almost surely, 2^{201222022020000} is an apocalyptic number.

201222022020000 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 201222022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330655311367920).

201222022020000 is an abundant number, since it is smaller than the sum of its proper divisors (460088600715840).

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

201222022020000 is an equidigital number, since it uses as much as digits as its factorization.

201222022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412985 (or 6412962 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 201222022020000 its reverse (20220222102), we get a palindrome (201242242242102).

The spelling of 201222022020000 in words is "two hundred one trillion, two hundred twenty-two billion, twenty-two million, twenty thousand".