11220211200000 has 1248 divisors, whose sum is σ = 41353712193024. Its totient is φ = 2682880000000.

The previous prime is 11220211199969. The next prime is 11220211200019. The reversal of 11220211200000 is 211202211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42662399869 + ... + 42662400131.

Almost surely, 2^{11220211200000} is an apocalyptic number.

11220211200000 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 11220211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676856096512).

11220211200000 is an abundant number, since it is smaller than the sum of its proper divisors (30133500993024).

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

11220211200000 is an equidigital number, since it uses as much as digits as its factorization.

11220211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 385 counting only the distinct ones).

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

Adding to 11220211200000 its reverse (211202211), we get a palindrome (11220422402211).

The spelling of 11220211200000 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, two hundred thousand".