4142124 has 48 divisors (see below), whose sum is σ = 12275200. Its totient is φ = 1183248.

The previous prime is 4142119. The next prime is 4142129. The reversal of 4142124 is 4212414.

4142124 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4142119) and next prime (4142129).

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.

4142124 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4142097 and 4142106.

It is not an unprimeable number, because it can be changed into a prime (4142129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 3495.

Almost surely, 2^4142124 is an apocalyptic number.

It is an amenable number.

4142124 is an abundant number, since it is smaller than the sum of its proper divisors (8133076).

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

4142124 is a wasteful number, since it uses less digits than its factorization.

4142124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5491 counting only the distinct ones).

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

The square root of 4142124 is about 2035.2208725345. The cubic root of 4142124 is about 160.5983326156.

Adding to 4142124 its reverse (4212414), we get a palindrome (8354538).

The spelling of 4142124 in words is "four million, one hundred forty-two thousand, one hundred twenty-four".