12051168300864 has 2688 divisors, whose sum is σ = 50876150906880. Its totient is φ = 2629612339200.

The previous prime is 12051168300863. The next prime is 12051168300877. The reversal of 12051168300864 is 46800386115021.

12051168300864 is a `hidden beast` number, since 1 + 20 + 511 + 6 + 8 + 30 + 0 + 86 + 4 = 666.

12051168300864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051168300863) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15590126782 + ... + 15590127554.

Almost surely, 2^{12051168300864} is an apocalyptic number.

12051168300864 is a gapful number since it is divisible by the number (14) 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 12051168300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25438075453440).

12051168300864 is an abundant number, since it is smaller than the sum of its proper divisors (38824982606016).

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

12051168300864 is a wasteful number, since it uses less digits than its factorization.

12051168300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12051168300864 in words is "twelve trillion, fifty-one billion, one hundred sixty-eight million, three hundred thousand, eight hundred sixty-four".