12516102720000 has 1600 divisors, whose sum is σ = 51174538905600. Its totient is φ = 2994001920000.

The previous prime is 12516102719987. The next prime is 12516102720061. The reversal of 12516102720000 is 2720161521.

12516102720000 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 610 + 27 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7508159167 + ... + 7508160833.

It is an arithmetic number, because the mean of its divisors is an integer number (31984086816).

Almost surely, 2^{12516102720000} is an apocalyptic number.

12516102720000 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 12516102720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25587269452800).

12516102720000 is an abundant number, since it is smaller than the sum of its proper divisors (38658436185600).

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

12516102720000 is an equidigital number, since it uses as much as digits as its factorization.

12516102720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 12516102720000 its reverse (2720161521), we get a palindrome (12518822881521).

The spelling of 12516102720000 in words is "twelve trillion, five hundred sixteen billion, one hundred two million, seven hundred twenty thousand".