214313120 has 96 divisors (see below), whose sum is σ = 582422400. Its totient is φ = 72999936.

The previous prime is 214313117. The next prime is 214313129. The reversal of 214313120 is 21313412.

It is a super-2 number, since 2×214313120² = 91860226808268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214313129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199946 + ... + 201014.

It is an arithmetic number, because the mean of its divisors is an integer number (6066900).

Almost surely, 2^214313120 is an apocalyptic number.

214313120 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 214313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291211200).

214313120 is an abundant number, since it is smaller than the sum of its proper divisors (368109280).

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

214313120 is a wasteful number, since it uses less digits than its factorization.

214313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 214313120 is about 14639.4371476502. The cubic root of 214313120 is about 598.4339903195.

Adding to 214313120 its reverse (21313412), we get a palindrome (235626532).

The spelling of 214313120 in words is "two hundred fourteen million, three hundred thirteen thousand, one hundred twenty".