42121133112124 has 48 divisors (see below), whose sum is σ = 81247444389216. Its totient is φ = 18947335680000.

The previous prime is 42121133112119. The next prime is 42121133112209.

42121133112124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42121133112092 and 42121133112101.

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, 65805624 + ... + 66442624.

It is an arithmetic number, because the mean of its divisors is an integer number (1692655091442).

Almost surely, 2^{42121133112124} is an apocalyptic number.

42121133112124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121133112124 is a deficient number, since it is larger than the sum of its proper divisors (39126311277092).

42121133112124 is a wasteful number, since it uses less digits than its factorization.

42121133112124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652606 (or 652604 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 4212113 and 3112124, that added together give a palindrome (7324237).

The spelling of 42121133112124 in words is "forty-two trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, one hundred twenty-four".