12111011101200 has 240 divisors, whose sum is σ = 42832392051456. Its totient is φ = 2900628902400.

The previous prime is 12111011101199. The next prime is 12111011101249. The reversal of 12111011101200 is 210111011121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4431514 + ... + 6622713.

Almost surely, 2^{12111011101200} is an apocalyptic number.

12111011101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111011101200 is an abundant number, since it is smaller than the sum of its proper divisors (30721380950256).

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

12111011101200 is a wasteful number, since it uses less digits than its factorization.

12111011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054342 (or 11054331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111011101200 its reverse (210111011121), we get a palindrome (12321122112321).

The spelling of 12111011101200 in words is "twelve trillion, one hundred eleven billion, eleven million, one hundred one thousand, two hundred".