42235120 has 40 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 16756992.

The previous prime is 42235111. The next prime is 42235129. The reversal of 42235120 is 2153224.

42235120 = T₄₄₅ + T₄₄₆ + ... + T₆₉₈.

It is an interprime number because it is at equal distance from previous prime (42235111) and next prime (42235129).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42235120² = 3567610722828800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42235129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 12238.

Almost surely, 2^42235120 is an apocalyptic number.

42235120 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 42235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

42235120 is an abundant number, since it is smaller than the sum of its proper divisors (56758544).

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

42235120 is a wasteful number, since it uses less digits than its factorization.

42235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42235120 is about 6498.8552838173. The cubic root of 42235120 is about 348.2500954676.

Adding to 42235120 its reverse (2153224), we get a palindrome (44388344).

The spelling of 42235120 in words is "forty-two million, two hundred thirty-five thousand, one hundred twenty".