111138720 has 384 divisors, whose sum is σ = 455196672. Its totient is φ = 22118400.

The previous prime is 111138719. The next prime is 111138749. The reversal of 111138720 is 27831111.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145712 + ... + 1145808.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^111138720 is an apocalyptic number.

111138720 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 111138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227598336).

111138720 is an abundant number, since it is smaller than the sum of its proper divisors (344057952).

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

111138720 is a wasteful number, since it uses less digits than its factorization.

111138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 111138720 is about 10542.2350571404. The cubic root of 111138720 is about 480.7896723797.

Adding to 111138720 its reverse (27831111), we get a palindrome (138969831).

It can be divided in two parts, 111 and 138720, that added together give a palindrome (138831).

The spelling of 111138720 in words is "one hundred eleven million, one hundred thirty-eight thousand, seven hundred twenty".