120105120 has 96 divisors (see below), whose sum is σ = 384834240. Its totient is φ = 31477760.

The previous prime is 120105079. The next prime is 120105143. The reversal of 120105120 is 21501021.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 120105096 and 120105105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26200 + ... + 30440.

It is an arithmetic number, because the mean of its divisors is an integer number (4008690).

Almost surely, 2^120105120 is an apocalyptic number.

120105120 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 120105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192417120).

120105120 is an abundant number, since it is smaller than the sum of its proper divisors (264729120).

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

120105120 is a wasteful number, since it uses less digits than its factorization.

120105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 120105120 is about 10959.2481493942. The cubic root of 120105120 is about 493.3863996159.

Adding to 120105120 its reverse (21501021), we get a palindrome (141606141).

The spelling of 120105120 in words is "one hundred twenty million, one hundred five thousand, one hundred twenty".