42121111112124 has 48 divisors (see below), whose sum is σ = 107218873977600. Its totient is φ = 12763794464640.

The previous prime is 42121111112107. The next prime is 42121111112149.

42121111112124 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 = 42121111112094 and 42121111112103.

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, 7393497 + ... + 11785839.

It is an arithmetic number, because the mean of its divisors is an integer number (2233726541200).

Almost surely, 2^{42121111112124} is an apocalyptic number.

42121111112124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121111112124 is an abundant number, since it is smaller than the sum of its proper divisors (65097762865476).

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

42121111112124 is a wasteful number, since it uses less digits than its factorization.

42121111112124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465010 (or 4465008 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 4212111 and 1112124, that added together give a palindrome (5324235).

The spelling of 42121111112124 in words is "forty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-four".