111314312111232 has 256 divisors, whose sum is σ = 332090935776000. Its totient is φ = 36704092078080.

The previous prime is 111314312111227. The next prime is 111314312111263. The reversal of 111314312111232 is 232111213413111.

111314312111232 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 4 + 312 + 111 + 232 = 666.

It is a super-2 number, since 2×111314312111232² (a number of 29 digits) contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111314312111196 and 111314312111205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198498757 + ... + 199058747.

It is an arithmetic number, because the mean of its divisors is an integer number (1297230217875).

Almost surely, 2^{111314312111232} is an apocalyptic number.

111314312111232 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 111314312111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166045467888000).

111314312111232 is an abundant number, since it is smaller than the sum of its proper divisors (220776623664768).

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

111314312111232 is a wasteful number, since it uses less digits than its factorization.

111314312111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560636 (or 560618 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 111314312111232 its reverse (232111213413111), we get a palindrome (343425525524343).

The spelling of 111314312111232 in words is "one hundred eleven trillion, three hundred fourteen billion, three hundred twelve million, one hundred eleven thousand, two hundred thirty-two".