111332312013120 has 448 divisors, whose sum is σ = 400486636972800. Its totient is φ = 25965134807040.

The previous prime is 111332312013089. The next prime is 111332312013151. The reversal of 111332312013120 is 21310213233111.

It is an interprime number because it is at equal distance from previous prime (111332312013089) and next prime (111332312013151).

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

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 63 ways as a sum of consecutive naturals, for example, 33173286 + ... + 36374874.

It is an arithmetic number, because the mean of its divisors is an integer number (893943386100).

Almost surely, 2^{111332312013120} is an apocalyptic number.

111332312013120 is a gapful number since it is divisible by the number (10) 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 111332312013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200243318486400).

111332312013120 is an abundant number, since it is smaller than the sum of its proper divisors (289154324959680).

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

111332312013120 is a wasteful number, since it uses less digits than its factorization.

111332312013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201746 (or 3201736 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 111332312013120 its reverse (21310213233111), we get a palindrome (132642525246231).

The spelling of 111332312013120 in words is "one hundred eleven trillion, three hundred thirty-two billion, three hundred twelve million, thirteen thousand, one hundred twenty".