42111033011124 has 192 divisors, whose sum is σ = 123668287045632. Its totient is φ = 10834174310400.

The previous prime is 42111033011123. The next prime is 42111033011129.

42111033011124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42111033011094 and 42111033011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111033011123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163484914 + ... + 163742294.

It is an arithmetic number, because the mean of its divisors is an integer number (644105661696).

Almost surely, 2^{42111033011124} is an apocalyptic number.

42111033011124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111033011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61834143522816).

42111033011124 is an abundant number, since it is smaller than the sum of its proper divisors (81557254034508).

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

42111033011124 is a wasteful number, since it uses less digits than its factorization.

42111033011124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259086 (or 259084 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, 4211103 and 3011124, that added together give a palindrome (7222227).

The spelling of 42111033011124 in words is "forty-two trillion, one hundred eleven billion, thirty-three million, eleven thousand, one hundred twenty-four".