11205220106020 has 12 divisors (see below), whose sum is σ = 23530962222684. Its totient is φ = 4482088042400.

The previous prime is 11205220106011. The next prime is 11205220106111. The reversal of 11205220106020 is 2060102250211.

It can be written as a sum of positive squares in 2 ways, for example, as 6327730188004 + 4877489918016 = 2515498^2 + 2208504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11205220105982 and 11205220106000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280130502631 + ... + 280130502670.

It is an arithmetic number, because the mean of its divisors is an integer number (1960913518557).

Almost surely, 2^{11205220106020} is an apocalyptic number.

11205220106020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205220106020 is an abundant number, since it is smaller than the sum of its proper divisors (12325742116664).

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

11205220106020 is a wasteful number, since it uses less digits than its factorization.

11205220106020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560261005310 (or 560261005308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11205220106020 its reverse (2060102250211), we get a palindrome (13265322356231).

The spelling of 11205220106020 in words is "eleven trillion, two hundred five billion, two hundred twenty million, one hundred six thousand, twenty".