42133124 has 36 divisors (see below), whose sum is σ = 82002480. Its totient is φ = 18784560.

The previous prime is 42133097. The next prime is 42133129.

42133124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42133096 and 42133105.

It is not an unprimeable number, because it can be changed into a prime (42133129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303047 + ... + 303185.

Almost surely, 2^42133124 is an apocalyptic number.

42133124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42133124 is a deficient number, since it is larger than the sum of its proper divisors (39869356).

42133124 is a wasteful number, since it uses less digits than its factorization.

42133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 235 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 42133124 is about 6491.0033122777. The cubic root of 42133124 is about 347.9695331587.

It can be divided in two parts, 4213 and 3124, that added together give a palindrome (7337).

The spelling of 42133124 in words is "forty-two million, one hundred thirty-three thousand, one hundred twenty-four".