120042720 has 144 divisors (see below), whose sum is σ = 468205920. Its totient is φ = 27436032.

The previous prime is 120042707. The next prime is 120042731. The reversal of 120042720 is 27240021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120042693 and 120042702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4126 + ... + 16034.

It is an arithmetic number, because the mean of its divisors is an integer number (3251430).

Almost surely, 2^120042720 is an apocalyptic number.

120042720 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 120042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234102960).

120042720 is an abundant number, since it is smaller than the sum of its proper divisors (348163200).

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

120042720 is a wasteful number, since it uses less digits than its factorization.

120042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 120042720 is about 10956.4008688985. The cubic root of 120042720 is about 493.3009393550.

Adding to 120042720 its reverse (27240021), we get a palindrome (147282741).

The spelling of 120042720 in words is "one hundred twenty million, forty-two thousand, seven hundred twenty".