12111102021200 has 480 divisors, whose sum is σ = 36241314907392. Its totient is φ = 3787130880000.

The previous prime is 12111102021149. The next prime is 12111102021247. The reversal of 12111102021200 is 212020111121.

12111102021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1915401239 + ... + 1915407561.

Almost surely, 2^{12111102021200} is an apocalyptic number.

12111102021200 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 12111102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120657453696).

12111102021200 is an abundant number, since it is smaller than the sum of its proper divisors (24130212886192).

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

12111102021200 is a wasteful number, since it uses less digits than its factorization.

12111102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12111102021200 its reverse (212020111121), we get a palindrome (12323122132321).

The spelling of 12111102021200 in words is "twelve trillion, one hundred eleven billion, one hundred two million, twenty-one thousand, two hundred".