42121412124 has 72 divisors (see below), whose sum is σ = 108072788880. Its totient is φ = 12759056640.

The previous prime is 42121412063. The next prime is 42121412149.

It is a happy number.

42121412124 is nontrivially palindromic in base 10.

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 = 42121412094 and 42121412103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5590792 + ... + 5598320.

Almost surely, 2^42121412124 is an apocalyptic number.

42121412124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121412124 is an abundant number, since it is smaller than the sum of its proper divisors (65951376756).

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

42121412124 is a wasteful number, since it uses less digits than its factorization.

42121412124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11398 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 42121412124 in words is "forty-two billion, one hundred twenty-one million, four hundred twelve thousand, one hundred twenty-four".