11331223312122 has 128 divisors (see below), whose sum is σ = 29582177011200. Its totient is φ = 3147147883008.

The previous prime is 11331223312091. The next prime is 11331223312187. The reversal of 11331223312122 is 22121332213311.

11331223312122 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 223 + 312 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15145198 + ... + 15875750.

It is an arithmetic number, because the mean of its divisors is an integer number (231110757900).

Almost surely, 2^{11331223312122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331223312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791088505600).

11331223312122 is an abundant number, since it is smaller than the sum of its proper divisors (18250953699078).

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

11331223312122 is a wasteful number, since it uses less digits than its factorization.

11331223312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731717 (or 731711 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11331223312122 its reverse (22121332213311), we get a palindrome (33452555525433).

The spelling of 11331223312122 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty-three million, three hundred twelve thousand, one hundred twenty-two".