11111221012200 has 192 divisors, whose sum is σ = 35379998094720. Its totient is φ = 2882563200000.

The previous prime is 11111221012141. The next prime is 11111221012201. The reversal of 11111221012200 is 221012211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11111221012200.

It is not an unprimeable number, because it can be changed into a prime (11111221012201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219776925 + ... + 219827475.

It is an arithmetic number, because the mean of its divisors is an integer number (184270823410).

Almost surely, 2^{11111221012200} is an apocalyptic number.

11111221012200 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 11111221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689999047360).

11111221012200 is an abundant number, since it is smaller than the sum of its proper divisors (24268777082520).

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

11111221012200 is a wasteful number, since it uses less digits than its factorization.

11111221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60508 (or 60499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11111221012200 its reverse (221012211111), we get a palindrome (11332233223311).

The spelling of 11111221012200 in words is "eleven trillion, one hundred eleven billion, two hundred twenty-one million, twelve thousand, two hundred".