12144120120 has 192 divisors, whose sum is σ = 43107517440. Its totient is φ = 2940537600.

The previous prime is 12144120101. The next prime is 12144120143. The reversal of 12144120120 is 2102144121.

12144120120 is a `hidden beast` number, since 1 + 2 + 1 + 441 + 201 + 20 = 666.

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 = 12144120093 and 12144120102.

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, 5253765 + ... + 5256075.

It is an arithmetic number, because the mean of its divisors is an integer number (224518320).

Almost surely, 2^12144120120 is an apocalyptic number.

12144120120 is a gapful number since it is divisible by the number (10) 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 12144120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21553758720).

12144120120 is an abundant number, since it is smaller than the sum of its proper divisors (30963397320).

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

12144120120 is a wasteful number, since it uses less digits than its factorization.

12144120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3659 counting only the distinct ones).

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

Adding to 12144120120 its reverse (2102144121), we get a palindrome (14246264241).

The spelling of 12144120120 in words is "twelve billion, one hundred forty-four million, one hundred twenty thousand, one hundred twenty".