4211111124 has 144 divisors (see below), whose sum is σ = 12158100864. Its totient is φ = 1216512000.

The previous prime is 4211111117. The next prime is 4211111143.

4211111124 is nontrivially palindromic in base 10.

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

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 = 4211111097 and 4211111106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3651732 + ... + 3652884.

It is an arithmetic number, because the mean of its divisors is an integer number (84431256).

Almost surely, 2^4211111124 is an apocalyptic number.

4211111124 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 4211111124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079050432).

4211111124 is an abundant number, since it is smaller than the sum of its proper divisors (7946989740).

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

4211111124 is a wasteful number, since it uses less digits than its factorization.

4211111124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1593 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 4211111124 is about 64893.0745457479. The cubic root of 4211111124 is about 1614.8501714435.

It can be divided in two parts, 42111 and 11124, that added together give a palindrome (53235).

The spelling of 4211111124 in words is "four billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-four".