113122211123232 has 144 divisors (see below), whose sum is σ = 326014959291840. Its totient is φ = 37201849698816.

The previous prime is 113122211123179. The next prime is 113122211123237. The reversal of 113122211123232 is 232321112221311.

113122211123232 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 221 + 112 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 113122211123196 and 113122211123205.

It is not an unprimeable number, because it can be changed into a prime (113122211123237) 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 23 ways as a sum of consecutive naturals, for example, 14123494 + ... + 20632922.

It is an arithmetic number, because the mean of its divisors is an integer number (2263992772860).

Almost surely, 2^{113122211123232} is an apocalyptic number.

113122211123232 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 113122211123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163007479645920).

113122211123232 is an abundant number, since it is smaller than the sum of its proper divisors (212892748168608).

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

113122211123232 is a wasteful number, since it uses less digits than its factorization.

113122211123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510255 (or 6510244 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 113122211123232 its reverse (232321112221311), we get a palindrome (345443323344543).

The spelling of 113122211123232 in words is "one hundred thirteen trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-three thousand, two hundred thirty-two".