12127367116800 has 864 divisors, whose sum is σ = 47567418771600. Its totient is φ = 2934515957760.

The previous prime is 12127367116763. The next prime is 12127367116829. The reversal of 12127367116800 is 861176372121.

12127367116800 is a `hidden beast` number, since 1 + 2 + 127 + 367 + 1 + 168 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353416444 + ... + 353450756.

Almost surely, 2^{12127367116800} is an apocalyptic number.

12127367116800 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 12127367116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783709385800).

12127367116800 is an abundant number, since it is smaller than the sum of its proper divisors (35440051654800).

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

12127367116800 is a wasteful number, since it uses less digits than its factorization.

12127367116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34423 (or 34395 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12127367116800 in words is "twelve trillion, one hundred twenty-seven billion, three hundred sixty-seven million, one hundred sixteen thousand, eight hundred".