11211322122 has 384 divisors, whose sum is σ = 34131621888. Its totient is φ = 2566080000.

The previous prime is 11211322093. The next prime is 11211322141. The reversal of 11211322122 is 22122311211.

11211322122 is a `hidden beast` number, since 11 + 211 + 322 + 122 = 666.

11211322122 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 = 11211322095 and 11211322104.

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 191 ways as a sum of consecutive naturals, for example, 44666497 + ... + 44666747.

It is an arithmetic number, because the mean of its divisors is an integer number (88884432).

Almost surely, 2^11211322122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065810944).

11211322122 is an abundant number, since it is smaller than the sum of its proper divisors (22920299766).

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

11211322122 is a wasteful number, since it uses less digits than its factorization.

11211322122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11211322122 its reverse (22122311211), we get a palindrome (33333633333).

It can be divided in two parts, 11211 and 322122, that added together give a palindrome (333333).

The spelling of 11211322122 in words is "eleven billion, two hundred eleven million, three hundred twenty-two thousand, one hundred twenty-two".