120042000 has 480 divisors, whose sum is σ = 492885120. Its totient is φ = 27993600.

The previous prime is 120041989. The next prime is 120042007. The reversal of 120042000 is 240021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120042007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6317991 + ... + 6318009.

It is an arithmetic number, because the mean of its divisors is an integer number (1026844).

Almost surely, 2^120042000 is an apocalyptic number.

120042000 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 120042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246442560).

120042000 is an abundant number, since it is smaller than the sum of its proper divisors (372843120).

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

120042000 is a wasteful number, since it uses less digits than its factorization.

120042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120042000 is about 10956.3680113439. The cubic root of 120042000 is about 493.2999531022.

Adding to 120042000 its reverse (240021), we get a palindrome (120282021).

The spelling of 120042000 in words is "one hundred twenty million, forty-two thousand".