4042111122 has 96 divisors (see below), whose sum is σ = 10302888960. Its totient is φ = 1121464800.

The previous prime is 4042111121. The next prime is 4042111123. The reversal of 4042111122 is 2211112404.

It is an interprime number because it is at equal distance from previous prime (4042111121) and next prime (4042111123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4042111095 and 4042111104.

It is not an unprimeable number, because it can be changed into a prime (4042111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613747 + ... + 620297.

It is an arithmetic number, because the mean of its divisors is an integer number (107321760).

Almost surely, 2^4042111122 is an apocalyptic number.

4042111122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

4042111122 is an abundant number, since it is smaller than the sum of its proper divisors (6260777838).

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

4042111122 is a wasteful number, since it uses less digits than its factorization.

4042111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4042111122 is about 63577.5992154469. The cubic root of 4042111122 is about 1592.9522200916.

Adding to 4042111122 its reverse (2211112404), we get a palindrome (6253223526).

The spelling of 4042111122 in words is "four billion, forty-two million, one hundred eleven thousand, one hundred twenty-two".