111132000 has 480 divisors, whose sum is σ = 475675200. Its totient is φ = 25401600.

The previous prime is 111131981. The next prime is 111132001. The reversal of 111132000 is 231111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111132001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15875997 + ... + 15876003.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 2^111132000 is an apocalyptic number.

111132000 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 111132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237837600).

111132000 is an abundant number, since it is smaller than the sum of its proper divisors (364543200).

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

111132000 is an frugal number, since it uses more digits than its factorization.

111132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 111132000 is about 10541.9163343294. The cubic root of 111132000 is about 480.7799818724.

Adding to 111132000 its reverse (231111), we get a palindrome (111363111).

The spelling of 111132000 in words is "one hundred eleven million, one hundred thirty-two thousand".