42212124 has 48 divisors (see below), whose sum is σ = 112119840. Its totient is φ = 13726080.

The previous prime is 42212113. The next prime is 42212143. The reversal of 42212124 is 42121224.

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 a junction number, because it is equal to n+sod(n) for n = 42212097 and 42212106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 9194.

It is an arithmetic number, because the mean of its divisors is an integer number (2335830).

It is a self-describing number.

Almost surely, 2^42212124 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 42212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56059920).

42212124 is an abundant number, since it is smaller than the sum of its proper divisors (69907716).

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

42212124 is a wasteful number, since it uses less digits than its factorization.

42212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9579 counting only the distinct ones).

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

The square root of 42212124 is about 6497.0858082682. The cubic root of 42212124 is about 348.1868794119.

Adding to 42212124 its reverse (42121224), we get a palindrome (84333348).

The spelling of 42212124 in words is "forty-two million, two hundred twelve thousand, one hundred twenty-four".