42000120 has 192 divisors, whose sum is σ = 147420000. Its totient is φ = 10741248.

The previous prime is 42000109. The next prime is 42000131. The reversal of 42000120 is 2100024.

42000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42000109) and next prime (42000131).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 281806 + ... + 281954.

Almost surely, 2^42000120 is an apocalyptic number.

42000120 is a gapful number since it is divisible by the number (40) 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 42000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).

42000120 is an abundant number, since it is smaller than the sum of its proper divisors (105419880).

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

42000120 is a wasteful number, since it uses less digits than its factorization.

42000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

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

The square root of 42000120 is about 6480.7499566022. The cubic root of 42000120 is about 347.6029955385.

Adding to 42000120 its reverse (2100024), we get a palindrome (44100144).

The spelling of 42000120 in words is "forty-two million, one hundred twenty", and thus it is an aban number.