11220220300320 has 144 divisors (see below), whose sum is σ = 38293997519232. Its totient is φ = 2991668359680.

The previous prime is 11220220300291. The next prime is 11220220300349. The reversal of 11220220300320 is 2300302202211.

11220220300320 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 2 + 20 + 300 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11220220300291) and next prime (11220220300349).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220220300293 and 11220220300302.

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 23 ways as a sum of consecutive naturals, for example, 10616665 + ... + 11625575.

It is an arithmetic number, because the mean of its divisors is an integer number (265930538328).

Almost surely, 2^{11220220300320} is an apocalyptic number.

11220220300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220220300320 is an abundant number, since it is smaller than the sum of its proper divisors (27073777218912).

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

11220220300320 is a wasteful number, since it uses less digits than its factorization.

11220220300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016655 (or 1016644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11220220300320 its reverse (2300302202211), we get a palindrome (13520522502531).

The spelling of 11220220300320 in words is "eleven trillion, two hundred twenty billion, two hundred twenty million, three hundred thousand, three hundred twenty".