214315120 has 40 divisors (see below), whose sum is σ = 498968064. Its totient is φ = 85608192.

The previous prime is 214315109. The next prime is 214315151. The reversal of 214315120 is 21513412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×214315120² = 91861941321228800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78417 + ... + 81103.

Almost surely, 2^214315120 is an apocalyptic number.

214315120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214315120 is an abundant number, since it is smaller than the sum of its proper divisors (284652944).

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

214315120 is a wasteful number, since it uses less digits than its factorization.

214315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3691 counting only the distinct ones).

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

The square root of 214315120 is about 14639.5054561279. The cubic root of 214315120 is about 598.4358518703.

Adding to 214315120 its reverse (21513412), we get a palindrome (235828532).

The spelling of 214315120 in words is "two hundred fourteen million, three hundred fifteen thousand, one hundred twenty".