11011211221120 has 256 divisors, whose sum is σ = 28967321088000. Its totient is φ = 3969191116800.

The previous prime is 11011211221093. The next prime is 11011211221121. The reversal of 11011211221120 is 2112211211011.

It is a super-2 number, since 2×11011211221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11011211221094 and 11011211221103.

It is not an unprimeable number, because it can be changed into a prime (11011211221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216838356 + ... + 1216847404.

It is an arithmetic number, because the mean of its divisors is an integer number (113153598000).

Almost surely, 2^{11011211221120} is an apocalyptic number.

11011211221120 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 11011211221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483660544000).

11011211221120 is an abundant number, since it is smaller than the sum of its proper divisors (17956109866880).

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

11011211221120 is a wasteful number, since it uses less digits than its factorization.

11011211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10555 counting only the distinct ones).

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

Adding to 11011211221120 its reverse (2112211211011), we get a palindrome (13123422432131).

The spelling of 11011211221120 in words is "eleven trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".