12202010111200 has 288 divisors, whose sum is σ = 36780300910080. Its totient is φ = 3849310771200.

The previous prime is 12202010111173. The next prime is 12202010111219. The reversal of 12202010111200 is 211101020221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22371331 + ... + 22910269.

It is an arithmetic number, because the mean of its divisors is an integer number (127709378160).

Almost surely, 2^{12202010111200} is an apocalyptic number.

12202010111200 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 12202010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390150455040).

12202010111200 is an abundant number, since it is smaller than the sum of its proper divisors (24578290798880).

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

12202010111200 is a wasteful number, since it uses less digits than its factorization.

12202010111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539290 (or 539277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12202010111200 its reverse (211101020221), we get a palindrome (12413111131421).

The spelling of 12202010111200 in words is "twelve trillion, two hundred two billion, ten million, one hundred eleven thousand, two hundred".