11220100021200 has 960 divisors, whose sum is σ = 45065978449920. Its totient is φ = 2327962091520.

The previous prime is 11220100021187. The next prime is 11220100021201. The reversal of 11220100021200 is 212000102211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220100021201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446523037 + ... + 446548163.

It is an arithmetic number, because the mean of its divisors is an integer number (46943727552).

Almost surely, 2^{11220100021200} is an apocalyptic number.

11220100021200 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 11220100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532989224960).

11220100021200 is an abundant number, since it is smaller than the sum of its proper divisors (33845878428720).

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

11220100021200 is a wasteful number, since it uses less digits than its factorization.

11220100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25284 (or 25273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220100021200 its reverse (212000102211), we get a palindrome (11432100123411).

The spelling of 11220100021200 in words is "eleven trillion, two hundred twenty billion, one hundred million, twenty-one thousand, two hundred".