221220200120 has 64 divisors (see below), whose sum is σ = 507967161120. Its totient is φ = 86676355584.

The previous prime is 221220200107. The next prime is 221220200137. The reversal of 221220200120 is 21002022122.

It is a super-3 number, since 3×221220200120³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 221220200095 and 221220200104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1214447 + ... + 1384673.

Almost surely, 2^221220200120 is an apocalyptic number.

221220200120 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 221220200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253983580560).

221220200120 is an abundant number, since it is smaller than the sum of its proper divisors (286746961000).

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

221220200120 is a wasteful number, since it uses less digits than its factorization.

221220200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170904 (or 170900 counting only the distinct ones).

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

Adding to 221220200120 its reverse (21002022122), we get a palindrome (242222222242).

The spelling of 221220200120 in words is "two hundred twenty-one billion, two hundred twenty million, two hundred thousand, one hundred twenty".