11322213120 has 432 divisors, whose sum is σ = 40785256512. Its totient is φ = 2897510400.

The previous prime is 11322213079. The next prime is 11322213127. The reversal of 11322213120 is 2131222311.

11322213120 is a `hidden beast` number, since 1 + 132 + 221 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11322213093 and 11322213102.

It is not an unprimeable number, because it can be changed into a prime (11322213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43050109 + ... + 43050371.

It is an arithmetic number, because the mean of its divisors is an integer number (94410316).

Almost surely, 2^11322213120 is an apocalyptic number.

11322213120 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 11322213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392628256).

11322213120 is an abundant number, since it is smaller than the sum of its proper divisors (29463043392).

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

11322213120 is a wasteful number, since it uses less digits than its factorization.

11322213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11322213120 its reverse (2131222311), we get a palindrome (13453435431).

The spelling of 11322213120 in words is "eleven billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".