14199120 has 240 divisors, whose sum is σ = 54027792. Its totient is φ = 3317760.

The previous prime is 14199113. The next prime is 14199121. The reversal of 14199120 is 2199141.

It can be written as a sum of positive squares in 8 ways, for example, as 1411344 + 12787776 = 1188^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14199121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346300 + ... + 346340.

Almost surely, 2^14199120 is an apocalyptic number.

14199120 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 14199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013896).

14199120 is an abundant number, since it is smaller than the sum of its proper divisors (39828672).

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

14199120 is a wasteful number, since it uses less digits than its factorization.

14199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 14199120 is about 3768.1719705979. The cubic root of 14199120 is about 242.1514886033.

The spelling of 14199120 in words is "fourteen million, one hundred ninety-nine thousand, one hundred twenty".