42112322321124 has 96 divisors (see below), whose sum is σ = 110894789980800. Its totient is φ = 12320885928960.

The previous prime is 42112322321053. The next prime is 42112322321149.

42112322321124 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 = 42112322321091 and 42112322321100.

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 31 ways as a sum of consecutive naturals, for example, 139452504 + ... + 139754160.

It is an arithmetic number, because the mean of its divisors is an integer number (1155154062300).

Almost surely, 2^{42112322321124} is an apocalyptic number.

42112322321124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42112322321124 is an abundant number, since it is smaller than the sum of its proper divisors (68782467659676).

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

42112322321124 is a wasteful number, since it uses less digits than its factorization.

42112322321124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338173 (or 338171 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 4211232 and 2321124, that added together give a palindrome (6532356).

The spelling of 42112322321124 in words is "forty-two trillion, one hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty-four".