11220201324200 has 1536 divisors, whose sum is σ = 34017822720000. Its totient is φ = 3386769408000.

The previous prime is 11220201324197. The next prime is 11220201324223. The reversal of 11220201324200 is 242310202211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115672178552 + ... + 115672178648.

It is an arithmetic number, because the mean of its divisors is an integer number (22147020000).

Almost surely, 2^{11220201324200} is an apocalyptic number.

11220201324200 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 11220201324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008911360000).

11220201324200 is an abundant number, since it is smaller than the sum of its proper divisors (22797621395800).

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

11220201324200 is a wasteful number, since it uses less digits than its factorization.

11220201324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11220201324200 its reverse (242310202211), we get a palindrome (11462511526411).

The spelling of 11220201324200 in words is "eleven trillion, two hundred twenty billion, two hundred one million, three hundred twenty-four thousand, two hundred".