12110305200000 has 384 divisors, whose sum is σ = 45951373923840. Its totient is φ = 2768067840000.

The previous prime is 12110305199999. The next prime is 12110305200067. The reversal of 12110305200000 is 250301121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7679149 + ... + 9120851.

It is an arithmetic number, because the mean of its divisors is an integer number (119665036260).

Almost surely, 2^{12110305200000} is an apocalyptic number.

12110305200000 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 12110305200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22975686961920).

12110305200000 is an abundant number, since it is smaller than the sum of its proper divisors (33841068723840).

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

12110305200000 is an frugal number, since it uses more digits than its factorization.

12110305200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441752 (or 1441720 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12110305200000 its reverse (250301121), we get a palindrome (12110555501121).

The spelling of 12110305200000 in words is "twelve trillion, one hundred ten billion, three hundred five million, two hundred thousand".