12144032120 has 128 divisors (see below), whose sum is σ = 30342574080. Its totient is φ = 4337472000.

The previous prime is 12144032107. The next prime is 12144032123. The reversal of 12144032120 is 2123044121.

It is a super-2 number, since 2×12144032120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12144032092 and 12144032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144032123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6974450 + ... + 6976190.

It is an arithmetic number, because the mean of its divisors is an integer number (237051360).

Almost surely, 2^12144032120 is an apocalyptic number.

12144032120 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 12144032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171287040).

12144032120 is an abundant number, since it is smaller than the sum of its proper divisors (18198541960).

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

12144032120 is a wasteful number, since it uses less digits than its factorization.

12144032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12144032120 its reverse (2123044121), we get a palindrome (14267076241).

The spelling of 12144032120 in words is "twelve billion, one hundred forty-four million, thirty-two thousand, one hundred twenty".