111438720 has 128 divisors (see below), whose sum is σ = 394740000. Its totient is φ = 29712384.

The previous prime is 111438713. The next prime is 111438721. The reversal of 111438720 is 27834111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111438721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14056 + ... + 20504.

Almost surely, 2^111438720 is an apocalyptic number.

111438720 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 111438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197370000).

111438720 is an abundant number, since it is smaller than the sum of its proper divisors (283301280).

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

111438720 is an equidigital number, since it uses as much as digits as its factorization.

111438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 111438720 is about 10556.4539500724. The cubic root of 111438720 is about 481.2218869281.

The spelling of 111438720 in words is "one hundred eleven million, four hundred thirty-eight thousand, seven hundred twenty".