111216000 has 256 divisors, whose sum is σ = 422622720. Its totient is φ = 25344000.

The previous prime is 111215999. The next prime is 111216019. The reversal of 111216000 is 612111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335835 + ... + 336165.

It is an arithmetic number, because the mean of its divisors is an integer number (1650870).

Almost surely, 2^111216000 is an apocalyptic number.

111216000 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 111216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211311360).

111216000 is an abundant number, since it is smaller than the sum of its proper divisors (311406720).

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

111216000 is an equidigital number, since it uses as much as digits as its factorization.

111216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 111216000 is about 10545.8996771257. The cubic root of 111216000 is about 480.9010851475.

Adding to 111216000 its reverse (612111), we get a palindrome (111828111).

The spelling of 111216000 in words is "one hundred eleven million, two hundred sixteen thousand".