12144666240 has 768 divisors, whose sum is σ = 51325747200. Its totient is φ = 2584535040.

The previous prime is 12144666181. The next prime is 12144666253. The reversal of 12144666240 is 4266644121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12144666195 and 12144666204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63584545 + ... + 63584735.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^12144666240 is an apocalyptic number.

12144666240 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 12144666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

12144666240 is an abundant number, since it is smaller than the sum of its proper divisors (39181080960).

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

12144666240 is a wasteful number, since it uses less digits than its factorization.

12144666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12144666240 in words is "twelve billion, one hundred forty-four million, six hundred sixty-six thousand, two hundred forty".