2220221200120 has 512 divisors, whose sum is σ = 6443947560960. Its totient is φ = 668528640000.

The previous prime is 2220221200117. The next prime is 2220221200157. The reversal of 2220221200120 is 210021220222.

It is a junction number, because it is equal to n+sod(n) for n = 2220221200094 and 2220221200103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5127531424 + ... + 5127531856.

It is an arithmetic number, because the mean of its divisors is an integer number (12585835080).

Almost surely, 2^{2220221200120} is an apocalyptic number.

2220221200120 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 2220221200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221973780480).

2220221200120 is an abundant number, since it is smaller than the sum of its proper divisors (4223726360840).

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

2220221200120 is a wasteful number, since it uses less digits than its factorization.

2220221200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

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

Adding to 2220221200120 its reverse (210021220222), we get a palindrome (2430242420342).

The spelling of 2220221200120 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".