20144120 has 64 divisors (see below), whose sum is σ = 47355840. Its totient is φ = 7705600.

The previous prime is 20144119. The next prime is 20144129. The reversal of 20144120 is 2144102.

It is a junction number, because it is equal to n+sod(n) for n = 20144095 and 20144104.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116354 + ... + 116526.

It is an arithmetic number, because the mean of its divisors is an integer number (739935).

Almost surely, 2^20144120 is an apocalyptic number.

20144120 is a gapful number since it is divisible by the number (20) 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 20144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677920).

20144120 is an abundant number, since it is smaller than the sum of its proper divisors (27211720).

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

20144120 is a wasteful number, since it uses less digits than its factorization.

20144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20144120 is about 4488.2201372036. The cubic root of 20144120 is about 272.0922048992.

Adding to 20144120 its reverse (2144102), we get a palindrome (22288222).

The spelling of 20144120 in words is "twenty million, one hundred forty-four thousand, one hundred twenty".