12144252120 has 864 divisors, whose sum is σ = 50942500560. Its totient is φ = 2306304000.

The previous prime is 12144252091. The next prime is 12144252143. The reversal of 12144252120 is 2125244121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 120240070 + ... + 120240170.

Almost surely, 2^12144252120 is an apocalyptic number.

12144252120 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 12144252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25471250280).

12144252120 is an abundant number, since it is smaller than the sum of its proper divisors (38798248440).

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

12144252120 is a wasteful number, since it uses less digits than its factorization.

12144252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12144252120 its reverse (2125244121), we get a palindrome (14269496241).

The spelling of 12144252120 in words is "twelve billion, one hundred forty-four million, two hundred fifty-two thousand, one hundred twenty".