11331211122 has 128 divisors (see below), whose sum is σ = 32476723200. Its totient is φ = 2841652800.

The previous prime is 11331211081. The next prime is 11331211147. The reversal of 11331211122 is 22111213311.

11331211122 is a `hidden beast` number, since 1 + 1 + 331 + 211 + 122 = 666.

11331211122 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11331211095 and 11331211104.

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 63 ways as a sum of consecutive naturals, for example, 73597 + ... + 167567.

It is an arithmetic number, because the mean of its divisors is an integer number (253724400).

Almost surely, 2^11331211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238361600).

11331211122 is an abundant number, since it is smaller than the sum of its proper divisors (21145512078).

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

11331211122 is a wasteful number, since it uses less digits than its factorization.

11331211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94029 (or 94023 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11331211122 its reverse (22111213311), we get a palindrome (33442424433).

The spelling of 11331211122 in words is "eleven billion, three hundred thirty-one million, two hundred eleven thousand, one hundred twenty-two".