42121144112124 has 48 divisors (see below), whose sum is σ = 122534237419776. Its totient is φ = 10940556912000.

The previous prime is 42121144112093. The next prime is 42121144112141.

It is a happy number.

42121144112124 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 = 42121144112091 and 42121144112100.

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, 22792825977 + ... + 22792827824.

It is an arithmetic number, because the mean of its divisors is an integer number (2552796612912).

Almost surely, 2^{42121144112124} is an apocalyptic number.

42121144112124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121144112124 is an abundant number, since it is smaller than the sum of its proper divisors (80413093307652).

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

42121144112124 is a wasteful number, since it uses less digits than its factorization.

42121144112124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45585653826 (or 45585653824 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 4212114 and 4112124, that added together give a palindrome (8324238).

The spelling of 42121144112124 in words is "forty-two trillion, one hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, one hundred twenty-four".