214321120 has 96 divisors (see below), whose sum is σ = 549436608. Its totient is φ = 78532608.

The previous prime is 214321087. The next prime is 214321127. The reversal of 214321120 is 21123412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 214321094 and 214321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214321127) 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, 347052 + ... + 347668.

It is an arithmetic number, because the mean of its divisors is an integer number (5723298).

Almost surely, 2^214321120 is an apocalyptic number.

214321120 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 214321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274718304).

214321120 is an abundant number, since it is smaller than the sum of its proper divisors (335115488).

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

214321120 is a wasteful number, since it uses less digits than its factorization.

214321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 214321120 is about 14639.7103796489. The cubic root of 214321120 is about 598.4414364531.

Adding to 214321120 its reverse (21123412), we get a palindrome (235444532).

The spelling of 214321120 in words is "two hundred fourteen million, three hundred twenty-one thousand, one hundred twenty".