42242112 has 168 divisors, whose sum is σ = 135514080. Its totient is φ = 12472320.

The previous prime is 42242087. The next prime is 42242141. The reversal of 42242112 is 21124224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373768 + ... + 373880.

Almost surely, 2^42242112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

42242112 is an abundant number, since it is smaller than the sum of its proper divisors (93271968).

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

42242112 is a wasteful number, since it uses less digits than its factorization.

42242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 42242112 is about 6499.3932024459. The cubic root of 42242112 is about 348.2693119420.

Adding to 42242112 its reverse (21124224), we get a palindrome (63366336).

It can be divided in two parts, 4224 and 2112, that added together give a palindrome (6336).

The spelling of 42242112 in words is "forty-two million, two hundred forty-two thousand, one hundred twelve".