120210210020120 has 256 divisors, whose sum is σ = 311445409536000. Its totient is φ = 41329728000000.

The previous prime is 120210210020071. The next prime is 120210210020141. The reversal of 120210210020120 is 21020012012021.

It is a junction number, because it is equal to n+sod(n) for n = 120210210020095 and 120210210020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205501370 + ... + 3205538870.

It is an arithmetic number, because the mean of its divisors is an integer number (1216583631000).

Almost surely, 2^{120210210020120} is an apocalyptic number.

120210210020120 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 120210210020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722704768000).

120210210020120 is an abundant number, since it is smaller than the sum of its proper divisors (191235199515880).

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

120210210020120 is a wasteful number, since it uses less digits than its factorization.

120210210020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41194 (or 41190 counting only the distinct ones).

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

Adding to 120210210020120 its reverse (21020012012021), we get a palindrome (141230222032141).

The spelling of 120210210020120 in words is "one hundred twenty trillion, two hundred ten billion, two hundred ten million, twenty thousand, one hundred twenty".