11331123122232 has 48 divisors (see below), whose sum is σ = 30692002620240. Its totient is φ = 3776604835968.

The previous prime is 11331123122183. The next prime is 11331123122273. The reversal of 11331123122232 is 23222132113311.

11331123122232 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 112 + 312 + 2 + 232 = 666.

It is a super-2 number, since 2×11331123122232² (a number of 27 digits) contains 22 as substring.

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 = 11331123122196 and 11331123122205.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8459533 + ... + 9707004.

It is an arithmetic number, because the mean of its divisors is an integer number (639416721255).

Almost surely, 2^{11331123122232} is an apocalyptic number.

11331123122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331123122232 is an abundant number, since it is smaller than the sum of its proper divisors (19360879498008).

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

11331123122232 is a wasteful number, since it uses less digits than its factorization.

11331123122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18175212 (or 18175205 counting only the distinct ones).

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

Adding to 11331123122232 its reverse (23222132113311), we get a palindrome (34553255235543).

The spelling of 11331123122232 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirty-two".