20144124 has 216 divisors, whose sum is σ = 70342272. Its totient is φ = 4717440.

The previous prime is 20144119. The next prime is 20144129. The reversal of 20144124 is 42144102.

20144124 is a `hidden beast` number, since 201 + 441 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (20144119) and next prime (20144129).

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 = 20144097 and 20144106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144129) 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 71 ways as a sum of consecutive naturals, for example, 468447 + ... + 468489.

Almost surely, 2^20144124 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 20144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35171136).

20144124 is an abundant number, since it is smaller than the sum of its proper divisors (50198148).

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

20144124 is a wasteful number, since it uses less digits than its factorization.

20144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20144124 is about 4488.2205828145. The cubic root of 20144124 is about 272.0922229089.

Adding to 20144124 its reverse (42144102), we get a palindrome (62288226).

The spelling of 20144124 in words is "twenty million, one hundred forty-four thousand, one hundred twenty-four".