42111300311124 has 96 divisors (see below), whose sum is σ = 110704520102400. Its totient is φ = 12346744210560.

The previous prime is 42111300311057. The next prime is 42111300311131.

42111300311124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42111300311124² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42111300311094 and 42111300311103.

It is a congruent number.

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, 23210394 + ... + 24958865.

It is an arithmetic number, because the mean of its divisors is an integer number (1153172084400).

Almost surely, 2^{42111300311124} is an apocalyptic number.

42111300311124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42111300311124 is an abundant number, since it is smaller than the sum of its proper divisors (68593219791276).

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

42111300311124 is a wasteful number, since it uses less digits than its factorization.

42111300311124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48169493 (or 48169491 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 42111300 and 311124, that added together give a palindrome (42422424).

The spelling of 42111300311124 in words is "forty-two trillion, one hundred eleven billion, three hundred million, three hundred eleven thousand, one hundred twenty-four".