20111124 has 48 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 6060000.

The previous prime is 20111093. The next prime is 20111137. The reversal of 20111124 is 42111102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32829 + ... + 33435.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^20111124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

20111124 is an abundant number, since it is smaller than the sum of its proper divisors (31369452).

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

20111124 is a wasteful number, since it uses less digits than its factorization.

20111124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 20111124 is about 4484.5427860597. The cubic root of 20111124 is about 271.9435616754.

Adding to 20111124 its reverse (42111102), we get a palindrome (62222226).

It can be divided in two parts, 201 and 11124, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 20111124 in words is "twenty million, one hundred eleven thousand, one hundred twenty-four".