12361350500800 has 504 divisors, whose sum is σ = 35675645184000. Its totient is φ = 4203228395520.

The previous prime is 12361350500783. The next prime is 12361350500803. The reversal of 12361350500800 is 800505316321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12361350500803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5600973297 + ... + 5600975503.

Almost surely, 2^{12361350500800} is an apocalyptic number.

12361350500800 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 12361350500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837822592000).

12361350500800 is an abundant number, since it is smaller than the sum of its proper divisors (23314294683200).

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

12361350500800 is a wasteful number, since it uses less digits than its factorization.

12361350500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 12361350500800 in words is "twelve trillion, three hundred sixty-one billion, three hundred fifty million, five hundred thousand, eight hundred".