4142112 has 48 divisors (see below), whose sum is σ = 11712960. Its totient is φ = 1274112.

The previous prime is 4142087. The next prime is 4142119. The reversal of 4142112 is 2112414.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 4142091 and 4142100.

It is not an unprimeable number, because it can be changed into a prime (4142119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (244020).

Almost surely, 2^4142112 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 4142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856480).

4142112 is an abundant number, since it is smaller than the sum of its proper divisors (7570848).

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

4142112 is a wasteful number, since it uses less digits than its factorization.

4142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3337 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 4142112 is about 2035.2179244494. The cubic root of 4142112 is about 160.5981775275.

Adding to 4142112 its reverse (2112414), we get a palindrome (6254526).

The spelling of 4142112 in words is "four million, one hundred forty-two thousand, one hundred twelve".