120114120 has 64 divisors (see below), whose sum is σ = 411822720. Its totient is φ = 27454464.

The previous prime is 120114103. The next prime is 120114121. The reversal of 120114120 is 21411021.

It is a happy number.

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 = 120114096 and 120114105.

It is not an unprimeable number, because it can be changed into a prime (120114121) by changing a digit.

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, 70657 + ... + 72336.

It is an arithmetic number, because the mean of its divisors is an integer number (6434730).

Almost surely, 2^120114120 is an apocalyptic number.

120114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120114120 is an abundant number, since it is smaller than the sum of its proper divisors (291708600).

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

120114120 is a wasteful number, since it uses less digits than its factorization.

120114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143014 (or 143010 counting only the distinct ones).

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

The square root of 120114120 is about 10959.6587538116. The cubic root of 120114120 is about 493.3987231723.

Adding to 120114120 its reverse (21411021), we get a palindrome (141525141).

The spelling of 120114120 in words is "one hundred twenty million, one hundred fourteen thousand, one hundred twenty".