12144648312720 has 960 divisors, whose sum is σ = 52782041733120. Its totient is φ = 2512360350720.

The previous prime is 12144648312701. The next prime is 12144648312733. The reversal of 12144648312720 is 2721384644121.

12144648312720 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 46 + 483 + 127 + 2 + 0 = 666.

12144648312720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415286419 + ... + 415315661.

It is an arithmetic number, because the mean of its divisors is an integer number (54981293472).

Almost surely, 2^{12144648312720} is an apocalyptic number.

12144648312720 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 12144648312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26391020866560).

12144648312720 is an abundant number, since it is smaller than the sum of its proper divisors (40637393420400).

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

12144648312720 is a wasteful number, since it uses less digits than its factorization.

12144648312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29521 (or 29498 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12144648312720 in words is "twelve trillion, one hundred forty-four billion, six hundred forty-eight million, three hundred twelve thousand, seven hundred twenty".