12111110001200 has 240 divisors, whose sum is σ = 34406112242880. Its totient is φ = 4008520642560.

The previous prime is 12111110001197. The next prime is 12111110001217. The reversal of 12111110001200 is 210001111121.

It is a super-2 number, since 2×12111110001200² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 785764694 + ... + 785780106.

It is an arithmetic number, because the mean of its divisors is an integer number (143358801012).

Almost surely, 2^{12111110001200} is an apocalyptic number.

12111110001200 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 12111110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203056121440).

12111110001200 is an abundant number, since it is smaller than the sum of its proper divisors (22295002241680).

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

12111110001200 is a wasteful number, since it uses less digits than its factorization.

12111110001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25144 (or 25133 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12111110001200 its reverse (210001111121), we get a palindrome (12321111112321).

The spelling of 12111110001200 in words is "twelve trillion, one hundred eleven billion, one hundred ten million, one thousand, two hundred".