120210210120 has 512 divisors, whose sum is σ = 485248942080. Its totient is φ = 23007559680.

The previous prime is 120210210047. The next prime is 120210210139. The reversal of 120210210120 is 21012012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120210210096 and 120210210105.

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, 80840017 + ... + 80841503.

It is an arithmetic number, because the mean of its divisors is an integer number (947751840).

Almost surely, 2^120210210120 is an apocalyptic number.

120210210120 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 120210210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242624471040).

120210210120 is an abundant number, since it is smaller than the sum of its proper divisors (365038731960).

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

120210210120 is a wasteful number, since it uses less digits than its factorization.

120210210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120210210120 its reverse (21012012021), we get a palindrome (141222222141).

The spelling of 120210210120 in words is "one hundred twenty billion, two hundred ten million, two hundred ten thousand, one hundred twenty".