12660752941200 has 960 divisors, whose sum is σ = 57251269017600. Its totient is φ = 2585103206400.

The previous prime is 12660752941157. The next prime is 12660752941253. The reversal of 12660752941200 is 214925706621.

12660752941200 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 7 + 529 + 41 + 20 + 0 = 666.

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, 30259021 + ... + 30674579.

It is an arithmetic number, because the mean of its divisors is an integer number (59636738560).

Almost surely, 2^{12660752941200} is an apocalyptic number.

12660752941200 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 12660752941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625634508800).

12660752941200 is an abundant number, since it is smaller than the sum of its proper divisors (44590516076400).

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

12660752941200 is a wasteful number, since it uses less digits than its factorization.

12660752941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415637 (or 415620 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12660752941200 in words is "twelve trillion, six hundred sixty billion, seven hundred fifty-two million, nine hundred forty-one thousand, two hundred".