221220222112120 has 128 divisors (see below), whose sum is σ = 620697809571840. Its totient is φ = 68937091799040.

The previous prime is 221220222112111. The next prime is 221220222112129. The reversal of 221220222112120 is 21211222022122.

It is an interprime number because it is at equal distance from previous prime (221220222112111) and next prime (221220222112129).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221220222112091 and 221220222112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220222112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6849184 + ... + 22121296.

It is an arithmetic number, because the mean of its divisors is an integer number (4849201637280).

Almost surely, 2^{221220222112120} is an apocalyptic number.

221220222112120 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 221220222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310348904785920).

221220222112120 is an abundant number, since it is smaller than the sum of its proper divisors (399477587459720).

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

221220222112120 is a wasteful number, since it uses less digits than its factorization.

221220222112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15276845 (or 15276841 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221220222112120 its reverse (21211222022122), we get a palindrome (242431444134242).

The spelling of 221220222112120 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".