42122122122124 has 24 divisors (see below), whose sum is σ = 80422370795088. Its totient is φ = 19144654770240.

The previous prime is 42122122122121. The next prime is 42122122122137.

It is a happy number.

42122122122124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42122122122124² (a number of 28 digits) contains 22 as substring.

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 = 42122122122092 and 42122122122101.

It is not an unprimeable number, because it can be changed into a prime (42122122122121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43626447 + ... + 44581510.

It is an arithmetic number, because the mean of its divisors is an integer number (3350932116462).

Almost surely, 2^{42122122122124} is an apocalyptic number.

42122122122124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42122122122124 is a deficient number, since it is larger than the sum of its proper divisors (38300248672964).

42122122122124 is a wasteful number, since it uses less digits than its factorization.

42122122122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88218825 (or 88218823 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 4212212 and 2122124, that added together give a palindrome (6334336).

The spelling of 42122122122124 in words is "forty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-four".