111214400 has 168 divisors, whose sum is σ = 306141120. Its totient is φ = 39424000.

The previous prime is 111214393. The next prime is 111214417. The reversal of 111214400 is 4412111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249556 + ... + 1249644.

Almost surely, 2^111214400 is an apocalyptic number.

111214400 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 111214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153070560).

111214400 is an abundant number, since it is smaller than the sum of its proper divisors (194926720).

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

111214400 is a wasteful number, since it uses less digits than its factorization.

111214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 111214400 is about 10545.8238179860. The cubic root of 111214400 is about 480.8987789883.

Adding to 111214400 its reverse (4412111), we get a palindrome (115626511).

The spelling of 111214400 in words is "one hundred eleven million, two hundred fourteen thousand, four hundred".