11001200221120 has 56 divisors (see below), whose sum is σ = 26199189881424. Its totient is φ = 4400046391296.

The previous prime is 11001200221049. The next prime is 11001200221153. The reversal of 11001200221120 is 2112200210011.

It is a self number, because there is not a number n which added to its sum of digits gives 11001200221120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567599 + ... + 4945681.

It is an arithmetic number, because the mean of its divisors is an integer number (467842676454).

Almost surely, 2^{11001200221120} is an apocalyptic number.

11001200221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001200221120 is an abundant number, since it is smaller than the sum of its proper divisors (15197989660304).

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

11001200221120 is a wasteful number, since it uses less digits than its factorization.

11001200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388277 (or 3388267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11001200221120 its reverse (2112200210011), we get a palindrome (13113400431131).

The spelling of 11001200221120 in words is "eleven trillion, one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".