11322201114200 has 192 divisors, whose sum is σ = 28565310096000. Its totient is φ = 4160013603840.

The previous prime is 11322201114193. The next prime is 11322201114229. The reversal of 11322201114200 is 241110222311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16020707 + ... + 16712493.

It is an arithmetic number, because the mean of its divisors is an integer number (148777656750).

Almost surely, 2^{11322201114200} is an apocalyptic number.

11322201114200 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 11322201114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282655048000).

11322201114200 is an abundant number, since it is smaller than the sum of its proper divisors (17243108981800).

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

11322201114200 is a wasteful number, since it uses less digits than its factorization.

11322201114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691954 (or 691945 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11322201114200 its reverse (241110222311), we get a palindrome (11563311336511).

The spelling of 11322201114200 in words is "eleven trillion, three hundred twenty-two billion, two hundred one million, one hundred fourteen thousand, two hundred".