12318766521600 has 2160 divisors, whose sum is σ = 54820814368320. Its totient is φ = 2407484620800.

The previous prime is 12318766521569. The next prime is 12318766521671. The reversal of 12318766521600 is 612566781321.

12318766521600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12318766521600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12318766521600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8620549686 + ... + 8620551114.

It is an arithmetic number, because the mean of its divisors is an integer number (25380006652).

Almost surely, 2^{12318766521600} is an apocalyptic number.

12318766521600 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 12318766521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27410407184160).

12318766521600 is an abundant number, since it is smaller than the sum of its proper divisors (42502047846720).

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

12318766521600 is a wasteful number, since it uses less digits than its factorization.

12318766521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 12318766521600 in words is "twelve trillion, three hundred eighteen billion, seven hundred sixty-six million, five hundred twenty-one thousand, six hundred".