120120210112110 has 128 divisors (see below), whose sum is σ = 327141366935040. Its totient is φ = 27982988352000.

The previous prime is 120120210112093. The next prime is 120120210112223. The reversal of 120120210112110 is 11211012021021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120120210112110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1152241 + ... + 15542460.

It is an arithmetic number, because the mean of its divisors is an integer number (2555791929180).

Almost surely, 2^{120120210112110} is an apocalyptic number.

120120210112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120210112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163570683467520).

120120210112110 is an abundant number, since it is smaller than the sum of its proper divisors (207021156822930).

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

120120210112110 is a wasteful number, since it uses less digits than its factorization.

120120210112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16695714.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120120210112110 its reverse (11211012021021), we get a palindrome (131331222133131).

The spelling of 120120210112110 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred ten million, one hundred twelve thousand, one hundred ten".