120221210120 has 96 divisors (see below), whose sum is σ = 297445259160. Its totient is φ = 43698969600.

The previous prime is 120221210093. The next prime is 120221210191. The reversal of 120221210120 is 21012122021.

It can be written as a sum of positive squares in 4 ways, for example, as 23600947876 + 96620262244 = 153626^2 + 310838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120221210095 and 120221210104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20097530 + ... + 20103510.

Almost surely, 2^120221210120 is an apocalyptic number.

120221210120 is a gapful number since it is divisible by the number (10) 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 120221210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148722629580).

120221210120 is an abundant number, since it is smaller than the sum of its proper divisors (177224049040).

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

120221210120 is a wasteful number, since it uses less digits than its factorization.

120221210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120221210120 its reverse (21012122021), we get a palindrome (141233332141).

The spelling of 120221210120 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".