12551416366200 has 192 divisors, whose sum is σ = 39495093937920. Its totient is φ = 3296751360000.

The previous prime is 12551416366199. The next prime is 12551416366207. The reversal of 12551416366200 is 266361415521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12551416366207) 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 47 ways as a sum of consecutive naturals, for example, 44632432 + ... + 44912768.

It is an arithmetic number, because the mean of its divisors is an integer number (205703614260).

Almost surely, 2^{12551416366200} is an apocalyptic number.

12551416366200 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 12551416366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747546968960).

12551416366200 is an abundant number, since it is smaller than the sum of its proper divisors (26943677571720).

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

12551416366200 is a wasteful number, since it uses less digits than its factorization.

12551416366200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281478 (or 281469 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 12551416366200 in words is "twelve trillion, five hundred fifty-one billion, four hundred sixteen million, three hundred sixty-six thousand, two hundred".