214513120 has 24 divisors (see below), whose sum is σ = 506787624. Its totient is φ = 85805184.

The previous prime is 214513109. The next prime is 214513129. The reversal of 214513120 is 21315412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214513129) 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 3 ways as a sum of consecutive naturals, for example, 670194 + ... + 670513.

It is an arithmetic number, because the mean of its divisors is an integer number (21116151).

Almost surely, 2^214513120 is an apocalyptic number.

214513120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214513120 is an abundant number, since it is smaller than the sum of its proper divisors (292274504).

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

214513120 is a wasteful number, since it uses less digits than its factorization.

214513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340722 (or 1340714 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 214513120 is about 14646.2664184426. The cubic root of 214513120 is about 598.6200880974.

Adding to 214513120 its reverse (21315412), we get a palindrome (235828532).

The spelling of 214513120 in words is "two hundred fourteen million, five hundred thirteen thousand, one hundred twenty".