11021023120 has 80 divisors (see below), whose sum is σ = 26556626160. Its totient is φ = 4248502272.

The previous prime is 11021023051. The next prime is 11021023133. The reversal of 11021023120 is 2132012011.

11021023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 178382736 + 10842640384 = 13356^2 + 104128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11021023120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11021023120.

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 15 ways as a sum of consecutive naturals, for example, 1334524 + ... + 1342756.

It is an arithmetic number, because the mean of its divisors is an integer number (331957827).

Almost surely, 2^11021023120 is an apocalyptic number.

11021023120 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 11021023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278313080).

11021023120 is an abundant number, since it is smaller than the sum of its proper divisors (15535603040).

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

11021023120 is a wasteful number, since it uses less digits than its factorization.

11021023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11021023120 its reverse (2132012011), we get a palindrome (13153035131).

The spelling of 11021023120 in words is "eleven billion, twenty-one million, twenty-three thousand, one hundred twenty".