12168401886300 has 288 divisors, whose sum is σ = 38854563148800. Its totient is φ = 2915635712000.

The previous prime is 12168401886293. The next prime is 12168401886323. The reversal of 12168401886300 is 368810486121.

It is a self number, because there is not a number n which added to its sum of digits gives 12168401886300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942476845 + ... + 942489755.

It is an arithmetic number, because the mean of its divisors is an integer number (134911677600).

Almost surely, 2^{12168401886300} is an apocalyptic number.

12168401886300 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 12168401886300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427281574400).

12168401886300 is an abundant number, since it is smaller than the sum of its proper divisors (26686161262500).

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

12168401886300 is a wasteful number, since it uses less digits than its factorization.

12168401886300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16237 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 12168401886300 in words is "twelve trillion, one hundred sixty-eight billion, four hundred one million, eight hundred eighty-six thousand, three hundred".