42133222233124 has 24 divisors (see below), whose sum is σ = 80448195240000. Its totient is φ = 19148597102880.

The previous prime is 42133222233043. The next prime is 42133222233209.

It is a happy number.

42133222233124 is nontrivially palindromic in base 10.

42133222233124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42133222233124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71391499 + ... + 71979250.

It is an arithmetic number, because the mean of its divisors is an integer number (3352008135000).

Almost surely, 2^{42133222233124} is an apocalyptic number.

42133222233124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42133222233124 is a deficient number, since it is larger than the sum of its proper divisors (38314973006876).

42133222233124 is a wasteful number, since it uses less digits than its factorization.

42133222233124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143377443 (or 143377441 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 4213322 and 2233124, that added together give a palindrome (6446446).

The spelling of 42133222233124 in words is "forty-two trillion, one hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred twenty-four".