220202221201200 has 1440 divisors, whose sum is σ = 901653543098880. Its totient is φ = 48722300928000.

The previous prime is 220202221201181. The next prime is 220202221201211. The reversal of 220202221201200 is 2102122202022.

220202221201200 is a `hidden beast` number, since 2 + 20 + 20 + 2 + 221 + 201 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70827345246 + ... + 70827348354.

Almost surely, 2^{220202221201200} is an apocalyptic number.

220202221201200 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 220202221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450826771549440).

220202221201200 is an abundant number, since it is smaller than the sum of its proper divisors (681451321897680).

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

220202221201200 is a wasteful number, since it uses less digits than its factorization.

220202221201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202221201200 its reverse (2102122202022), we get a palindrome (222304343403222).

The spelling of 220202221201200 in words is "two hundred twenty trillion, two hundred two billion, two hundred twenty-one million, two hundred one thousand, two hundred".