14119200 has 216 divisors, whose sum is σ = 52098228. Its totient is φ = 3594240.

The previous prime is 14119199. The next prime is 14119207. The reversal of 14119200 is 291141.

It can be written as a sum of positive squares in 6 ways, for example, as 9809424 + 4309776 = 3132^2 + 2076^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14119207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 266374 + ... + 266426.

Almost surely, 2^14119200 is an apocalyptic number.

14119200 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 14119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049114).

14119200 is an abundant number, since it is smaller than the sum of its proper divisors (37979028).

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

14119200 is a wasteful number, since it uses less digits than its factorization.

14119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 14119200 is about 3757.5523948443. The cubic root of 14119200 is about 241.6963155591.

The spelling of 14119200 in words is "fourteen million, one hundred nineteen thousand, two hundred".