12021102111200 has 576 divisors, whose sum is σ = 40256313431040. Its totient is φ = 3392223805440.

The previous prime is 12021102111199. The next prime is 12021102111203. The reversal of 12021102111200 is 211120112021.

12021102111200 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 not an unprimeable number, because it can be changed into a prime (12021102111203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23258789 + ... + 23770011.

It is an arithmetic number, because the mean of its divisors is an integer number (69889433040).

Almost surely, 2^{12021102111200} is an apocalyptic number.

12021102111200 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 12021102111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20128156715520).

12021102111200 is an abundant number, since it is smaller than the sum of its proper divisors (28235211319840).

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

12021102111200 is a wasteful number, since it uses less digits than its factorization.

12021102111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511299 (or 511286 counting only the distinct ones).

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

Adding to 12021102111200 its reverse (211120112021), we get a palindrome (12232222223221).

The spelling of 12021102111200 in words is "twelve trillion, twenty-one billion, one hundred two million, one hundred eleven thousand, two hundred".