11023311211120 has 160 divisors (see below), whose sum is σ = 27707928454080. Its totient is φ = 4054339215360.

The previous prime is 11023311211093. The next prime is 11023311211127. The reversal of 11023311211120 is 2111211332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023311211127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715153347 + ... + 1715159773.

It is an arithmetic number, because the mean of its divisors is an integer number (173174552838).

Almost surely, 2^{11023311211120} is an apocalyptic number.

11023311211120 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 11023311211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853964227040).

11023311211120 is an abundant number, since it is smaller than the sum of its proper divisors (16684617242960).

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

11023311211120 is a wasteful number, since it uses less digits than its factorization.

11023311211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603 (or 12597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11023311211120 its reverse (2111211332011), we get a palindrome (13134522543131).

The spelling of 11023311211120 in words is "eleven trillion, twenty-three billion, three hundred eleven million, two hundred eleven thousand, one hundred twenty".