42204120 has 128 divisors (see below), whose sum is σ = 147916800. Its totient is φ = 9432576.

The previous prime is 42204109. The next prime is 42204121. The reversal of 42204120 is 2140224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42204120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38946 + ... + 40014.

It is an arithmetic number, because the mean of its divisors is an integer number (1155600).

Almost surely, 2^42204120 is an apocalyptic number.

42204120 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 42204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73958400).

42204120 is an abundant number, since it is smaller than the sum of its proper divisors (105712680).

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

42204120 is a wasteful number, since it uses less digits than its factorization.

42204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42204120 is about 6496.4698105971. The cubic root of 42204120 is about 348.1648710118.

Adding to 42204120 its reverse (2140224), we get a palindrome (44344344).

It can be divided in two parts, 42204 and 120, that added together give a palindrome (42324).

The spelling of 42204120 in words is "forty-two million, two hundred four thousand, one hundred twenty".