120042120 has 128 divisors (see below), whose sum is σ = 395642880. Its totient is φ = 28896000.

The previous prime is 120042113. The next prime is 120042121. The reversal of 120042120 is 21240021.

It is a super-2 number, since 2×120042120² = 28820221148188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

120042120 is a modest number, since divided by 42120 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 120042096 and 120042105.

It is not an unprimeable number, because it can be changed into a prime (120042121) 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 31 ways as a sum of consecutive naturals, for example, 278305 + ... + 278735.

It is an arithmetic number, because the mean of its divisors is an integer number (3090960).

Almost surely, 2^120042120 is an apocalyptic number.

120042120 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 120042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197821440).

120042120 is an abundant number, since it is smaller than the sum of its proper divisors (275600760).

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

120042120 is a wasteful number, since it uses less digits than its factorization.

120042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120042120 is about 10956.3734876098. The cubic root of 120042120 is about 493.3001174780.

Adding to 120042120 its reverse (21240021), we get a palindrome (141282141).

The spelling of 120042120 in words is "one hundred twenty million, forty-two thousand, one hundred twenty".