111456000 has 360 divisors, whose sum is σ = 424407984. Its totient is φ = 29030400.

The previous prime is 111455989. The next prime is 111456031. The reversal of 111456000 is 654111.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2591979 + ... + 2592021.

Almost surely, 2^111456000 is an apocalyptic number.

111456000 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 111456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212203992).

111456000 is an abundant number, since it is smaller than the sum of its proper divisors (312951984).

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

111456000 is an frugal number, since it uses more digits than its factorization.

111456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 111456000 is about 10557.2723750029. The cubic root of 111456000 is about 481.2467588470.

The spelling of 111456000 in words is "one hundred eleven million, four hundred fifty-six thousand".