11020220221200 has 240 divisors, whose sum is σ = 35409410081280. Its totient is φ = 2929749340160.

The previous prime is 11020220221189. The next prime is 11020220221201. The reversal of 11020220221200 is 212202202011.

It is a tau number, because it is divible by the number of its divisors (240).

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 11020220221200.

It is not an unprimeable number, because it can be changed into a prime (11020220221201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 630546862 + ... + 630564338.

It is an arithmetic number, because the mean of its divisors is an integer number (147539208672).

Almost surely, 2^{11020220221200} is an apocalyptic number.

11020220221200 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 11020220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704705040640).

11020220221200 is an abundant number, since it is smaller than the sum of its proper divisors (24389189860080).

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

11020220221200 is a wasteful number, since it uses less digits than its factorization.

11020220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19074 (or 19063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11020220221200 its reverse (212202202011), we get a palindrome (11232422423211).

The spelling of 11020220221200 in words is "eleven trillion, twenty billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".