11322331033120 has 96 divisors (see below), whose sum is σ = 26932286808000. Its totient is φ = 4497909421056.

The previous prime is 11322331033067. The next prime is 11322331033127. The reversal of 11322331033120 is 2133013322311.

It is not an unprimeable number, because it can be changed into a prime (11322331033127) 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 15 ways as a sum of consecutive naturals, for example, 194958327 + ... + 195016393.

It is an arithmetic number, because the mean of its divisors is an integer number (280544654250).

Almost surely, 2^{11322331033120} is an apocalyptic number.

11322331033120 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 11322331033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466143404000).

11322331033120 is an abundant number, since it is smaller than the sum of its proper divisors (15609955774880).

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

11322331033120 is a wasteful number, since it uses less digits than its factorization.

11322331033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66410 (or 66402 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 11322331033120 its reverse (2133013322311), we get a palindrome (13455344355431).

The spelling of 11322331033120 in words is "eleven trillion, three hundred twenty-two billion, three hundred thirty-one million, thirty-three thousand, one hundred twenty".