11220003300000 has 432 divisors, whose sum is σ = 40464314305632. Its totient is φ = 2719992000000.

The previous prime is 11220003299971. The next prime is 11220003300031. The reversal of 11220003300000 is 330002211.

It is a happy number.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36145455 + ... + 36454545.

It is an arithmetic number, because the mean of its divisors is an integer number (93667394226).

Almost surely, 2^{11220003300000} is an apocalyptic number.

11220003300000 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 11220003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232157152816).

11220003300000 is an abundant number, since it is smaller than the sum of its proper divisors (29244311005632).

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

11220003300000 is an equidigital number, since it uses as much as digits as its factorization.

11220003300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309151 (or 309112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11220003300000 its reverse (330002211), we get a palindrome (11220333302211).

The spelling of 11220003300000 in words is "eleven trillion, two hundred twenty billion, three million, three hundred thousand".