111378288 has 240 divisors, whose sum is σ = 370325504. Its totient is φ = 28200960.

The previous prime is 111378287. The next prime is 111378307. The reversal of 111378288 is 882873111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111378287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3010206 + ... + 3010242.

Almost surely, 2^111378288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111378288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185162752).

111378288 is an abundant number, since it is smaller than the sum of its proper divisors (258947216).

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

111378288 is a wasteful number, since it uses less digits than its factorization.

111378288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its digits is 21504, while the sum is 39.

The square root of 111378288 is about 10553.5912371098. The cubic root of 111378288 is about 481.1348840758.

It can be divided in two parts, 1113 and 78288, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 111378288 in words is "one hundred eleven million, three hundred seventy-eight thousand, two hundred eighty-eight".