214114120 has 64 divisors (see below), whose sum is σ = 527083200. Its totient is φ = 77633280.

The previous prime is 214114091. The next prime is 214114123. The reversal of 214114120 is 21411412.

It is a happy number.

214114120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214114094 and 214114103.

It is not an unprimeable number, because it can be changed into a prime (214114123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 257866 + ... + 258694.

It is an arithmetic number, because the mean of its divisors is an integer number (8235675).

Almost surely, 2^214114120 is an apocalyptic number.

214114120 is a gapful number since it is divisible by the number (20) 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 214114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263541600).

214114120 is an abundant number, since it is smaller than the sum of its proper divisors (312969080).

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

214114120 is a wasteful number, since it uses less digits than its factorization.

214114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 214114120 is about 14632.6388597546. The cubic root of 214114120 is about 598.2487080826.

Adding to 214114120 its reverse (21411412), we get a palindrome (235525532).

It can be divided in two parts, 2141 and 14120, that added together give a palindrome (16261).

The spelling of 214114120 in words is "two hundred fourteen million, one hundred fourteen thousand, one hundred twenty".