12111304405200 has 960 divisors, whose sum is σ = 54355393032192. Its totient is φ = 2222040268800.

The previous prime is 12111304405199. The next prime is 12111304405201. The reversal of 12111304405200 is 250440311121.

12111304405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12111304405199) and next prime (12111304405201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111304405201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27408412 + ... + 27846788.

Almost surely, 2^{12111304405200} is an apocalyptic number.

12111304405200 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 12111304405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27177696516096).

12111304405200 is an abundant number, since it is smaller than the sum of its proper divisors (42244088626992).

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

12111304405200 is a wasteful number, since it uses less digits than its factorization.

12111304405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438452 (or 438441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12111304405200 its reverse (250440311121), we get a palindrome (12361744716321).

The spelling of 12111304405200 in words is "twelve trillion, one hundred eleven billion, three hundred four million, four hundred five thousand, two hundred".