220221201200 has 480 divisors, whose sum is σ = 721065515520. Its totient is φ = 62407065600.

The previous prime is 220221201197. The next prime is 220221201217. The reversal of 220221201200 is 2102122022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26822696 + ... + 26830904.

It is an arithmetic number, because the mean of its divisors is an integer number (1502219824).

Almost surely, 2^220221201200 is an apocalyptic number.

220221201200 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 220221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360532757760).

220221201200 is an abundant number, since it is smaller than the sum of its proper divisors (500844314320).

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

220221201200 is a wasteful number, since it uses less digits than its factorization.

220221201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220221201200 its reverse (2102122022), we get a palindrome (222323323222).

The spelling of 220221201200 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred one thousand, two hundred".