120350120 has 64 divisors (see below), whose sum is σ = 302322240. Its totient is φ = 42739200.

The previous prime is 120350119. The next prime is 120350137. The reversal of 120350120 is 21053021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120350095 and 120350104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15740 + ... + 22100.

It is an arithmetic number, because the mean of its divisors is an integer number (4723785).

Almost surely, 2^120350120 is an apocalyptic number.

120350120 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 120350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151161120).

120350120 is an abundant number, since it is smaller than the sum of its proper divisors (181972120).

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

120350120 is a wasteful number, since it uses less digits than its factorization.

120350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 120350120 is about 10970.4202289611. The cubic root of 120350120 is about 493.7216547313.

The spelling of 120350120 in words is "one hundred twenty million, three hundred fifty thousand, one hundred twenty".