12144210120 has 320 divisors, whose sum is σ = 47534065920. Its totient is φ = 2723175936.

The previous prime is 12144210119. The next prime is 12144210157. The reversal of 12144210120 is 2101244121.

12144210120 is a `hidden beast` number, since 121 + 4 + 421 + 0 + 120 = 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 = 12144210093 and 12144210102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1196989 + ... + 1207091.

It is an arithmetic number, because the mean of its divisors is an integer number (148543956).

Almost surely, 2^12144210120 is an apocalyptic number.

12144210120 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 12144210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767032960).

12144210120 is an abundant number, since it is smaller than the sum of its proper divisors (35389855800).

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

12144210120 is a wasteful number, since it uses less digits than its factorization.

12144210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10173 counting only the distinct ones).

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

Adding to 12144210120 its reverse (2101244121), we get a palindrome (14245454241).

The spelling of 12144210120 in words is "twelve billion, one hundred forty-four million, two hundred ten thousand, one hundred twenty".