11000020221200 has 60 divisors (see below), whose sum is σ = 26542952944740. Its totient is φ = 4380794042880.

The previous prime is 11000020221149. The next prime is 11000020221263. The reversal of 11000020221200 is 212202000011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 706292329744 + 10293727891456 = 840412^2 + 3208384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59952179 + ... + 60135378.

It is an arithmetic number, because the mean of its divisors is an integer number (442382549079).

Almost surely, 2^{11000020221200} is an apocalyptic number.

11000020221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000020221200 is an abundant number, since it is smaller than the sum of its proper divisors (15542932723540).

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

11000020221200 is a wasteful number, since it uses less digits than its factorization.

11000020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120087804 (or 120087793 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11000020221200 its reverse (212202000011), we get a palindrome (11212222221211).

The spelling of 11000020221200 in words is "eleven trillion, twenty million, two hundred twenty-one thousand, two hundred".