11001222201200 has 360 divisors, whose sum is σ = 35305976344320. Its totient is φ = 3248479987200.

The previous prime is 11001222201169. The next prime is 11001222201241. The reversal of 11001222201200 is 210222210011.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2753609 + ... + 5439191.

It is an arithmetic number, because the mean of its divisors is an integer number (98072156512).

Almost surely, 2^{11001222201200} is an apocalyptic number.

11001222201200 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 11001222201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652988172160).

11001222201200 is an abundant number, since it is smaller than the sum of its proper divisors (24304754143120).

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

11001222201200 is a wasteful number, since it uses less digits than its factorization.

11001222201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685645 (or 2685627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11001222201200 its reverse (210222210011), we get a palindrome (11211444411211).

The spelling of 11001222201200 in words is "eleven trillion, one billion, two hundred twenty-two million, two hundred one thousand, two hundred".