42800120 has 96 divisors (see below), whose sum is σ = 109166400. Its totient is φ = 15079680.

The previous prime is 42800111. The next prime is 42800137. The reversal of 42800120 is 2100824.

42800120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 178961 + ... + 179199.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 2^42800120 is an apocalyptic number.

42800120 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 42800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54583200).

42800120 is an abundant number, since it is smaller than the sum of its proper divisors (66366280).

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

42800120 is a wasteful number, since it uses less digits than its factorization.

42800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 42800120 is about 6542.1800647796. The cubic root of 42800120 is about 349.7961261652.

Adding to 42800120 its reverse (2100824), we get a palindrome (44900944).

The spelling of 42800120 in words is "forty-two million, eight hundred thousand, one hundred twenty".