11011221012120 has 128 divisors (see below), whose sum is σ = 39054577075200. Its totient is φ = 2430062562816.

The previous prime is 11011221012107. The next prime is 11011221012151. The reversal of 11011221012120 is 2121012211011.

It is a happy number.

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 11011221012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225985924 + ... + 226034643.

It is an arithmetic number, because the mean of its divisors is an integer number (305113883400).

Almost surely, 2^{11011221012120} is an apocalyptic number.

11011221012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011221012120 is an abundant number, since it is smaller than the sum of its proper divisors (28043356063080).

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

11011221012120 is a wasteful number, since it uses less digits than its factorization.

11011221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452020617 (or 452020613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11011221012120 its reverse (2121012211011), we get a palindrome (13132233223131).

The spelling of 11011221012120 in words is "eleven trillion, eleven billion, two hundred twenty-one million, twelve thousand, one hundred twenty".