12011112211200 has 216 divisors, whose sum is σ = 39682933754688. Its totient is φ = 3199427235840.

The previous prime is 12011112211193. The next prime is 12011112211213. The reversal of 12011112211200 is 211221111021.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12011112211200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17069539 + ... + 17759261.

Almost surely, 2^{12011112211200} is an apocalyptic number.

12011112211200 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 12011112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841466877344).

12011112211200 is an abundant number, since it is smaller than the sum of its proper divisors (27671821543488).

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

12011112211200 is an equidigital number, since it uses as much as digits as its factorization.

12011112211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690659 (or 690640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011112211200 its reverse (211221111021), we get a palindrome (12222333322221).

The spelling of 12011112211200 in words is "twelve trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, two hundred".