11001022120 has 128 divisors (see below), whose sum is σ = 27679242240. Its totient is φ = 3901328640.

The previous prime is 11001022069. The next prime is 11001022127. The reversal of 11001022120 is 2122010011.

11001022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11001022097 and 11001022106.

It is not an unprimeable number, because it can be changed into a prime (11001022127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3034629 + ... + 3038251.

It is an arithmetic number, because the mean of its divisors is an integer number (216244080).

Almost surely, 2^11001022120 is an apocalyptic number.

11001022120 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 11001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839621120).

11001022120 is an abundant number, since it is smaller than the sum of its proper divisors (16678220120).

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

11001022120 is a wasteful number, since it uses less digits than its factorization.

11001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11001022120 its reverse (2122010011), we get a palindrome (13123032131).

The spelling of 11001022120 in words is "eleven billion, one million, twenty-two thousand, one hundred twenty".