11331321122112 has 112 divisors (see below), whose sum is σ = 31287510541440. Its totient is φ = 3612514183168.

The previous prime is 11331321122101. The next prime is 11331321122113. The reversal of 11331321122112 is 21122112313311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331321122113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44620714 + ... + 44873942.

Almost surely, 2^{11331321122112} is an apocalyptic number.

11331321122112 is a gapful number since it is divisible by the number (12) 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 11331321122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643755270720).

11331321122112 is an abundant number, since it is smaller than the sum of its proper divisors (19956189419328).

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

11331321122112 is a wasteful number, since it uses less digits than its factorization.

11331321122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263400 (or 263390 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 11331321122112 its reverse (21122112313311), we get a palindrome (32453433435423).

The spelling of 11331321122112 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".