42121242 has 32 divisors (see below), whose sum is σ = 94541760. Its totient is φ = 13899600.

The previous prime is 42121231. The next prime is 42121243. The reversal of 42121242 is 24212124.

42121242 is a `hidden beast` number, since 421 + 2 + 1 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42121243) 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, 1593 + ... + 9315.

It is an arithmetic number, because the mean of its divisors is an integer number (2954430).

Almost surely, 2^42121242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47270880).

42121242 is an abundant number, since it is smaller than the sum of its proper divisors (52420518).

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

42121242 is a wasteful number, since it uses less digits than its factorization.

42121242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7829 counting only the distinct ones).

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

The square root of 42121242 is about 6490.0879809137. The cubic root of 42121242 is about 347.9368196835.

Adding to 42121242 its reverse (24212124), we get a palindrome (66333366).

It can be divided in two parts, 4212124 and 2, that multiplied together give a palindrome (8424248).

The spelling of 42121242 in words is "forty-two million, one hundred twenty-one thousand, two hundred forty-two".