11321322011120 has 120 divisors (see below), whose sum is σ = 28934320793280. Its totient is φ = 4116589171200.

The previous prime is 11321322011113. The next prime is 11321322011159. The reversal of 11321322011120 is 2111022312311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11321322011092 and 11321322011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234512585 + ... + 234560855.

It is an arithmetic number, because the mean of its divisors is an integer number (241119339944).

Almost surely, 2^{11321322011120} is an apocalyptic number.

11321322011120 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 11321322011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467160396640).

11321322011120 is an abundant number, since it is smaller than the sum of its proper divisors (17612998782160).

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

11321322011120 is a wasteful number, since it uses less digits than its factorization.

11321322011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72535 (or 72518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11321322011120 its reverse (2111022312311), we get a palindrome (13432344323431).

The spelling of 11321322011120 in words is "eleven trillion, three hundred twenty-one billion, three hundred twenty-two million, eleven thousand, one hundred twenty".