221220122200000 has 672 divisors, whose sum is σ = 686569491740160. Its totient is φ = 68701478400000.

The previous prime is 221220122199913. The next prime is 221220122200003. The reversal of 221220122200000 is 2221022122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220122200003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4265774071 + ... + 4265825929.

It is an arithmetic number, because the mean of its divisors is an integer number (1021680791280).

Almost surely, 2^{221220122200000} is an apocalyptic number.

221220122200000 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 221220122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343284745870080).

221220122200000 is an abundant number, since it is smaller than the sum of its proper divisors (465349369540160).

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

221220122200000 is an equidigital number, since it uses as much as digits as its factorization.

221220122200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52191 (or 52161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221220122200000 its reverse (2221022122), we get a palindrome (221222343222122).

The spelling of 221220122200000 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand".