11132223121332 has 108 divisors (see below), whose sum is σ = 29896062569100. Its totient is φ = 3492038602752.

The previous prime is 11132223121307. The next prime is 11132223121351. The reversal of 11132223121332 is 23312132223111.

11132223121332 is a `hidden beast` number, since 1 + 1 + 1 + 322 + 2 + 3 + 1 + 2 + 1 + 332 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15573542436 + 11116649578896 = 124794^2 + 3334164^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11132223121296 and 11132223121305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92004538 + ... + 92125454.

Almost surely, 2^{11132223121332} is an apocalyptic number.

11132223121332 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 11132223121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948031284550).

11132223121332 is an abundant number, since it is smaller than the sum of its proper divisors (18763839447768).

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

11132223121332 is a wasteful number, since it uses less digits than its factorization.

11132223121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129810 (or 129788 counting only the distinct ones).

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

Adding to 11132223121332 its reverse (23312132223111), we get a palindrome (34444355344443).

The spelling of 11132223121332 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-two".