214510120 has 64 divisors (see below), whose sum is σ = 528120000. Its totient is φ = 77767680.

The previous prime is 214510103. The next prime is 214510123. The reversal of 214510120 is 21015412.

It is a junction number, because it is equal to n+sod(n) for n = 214510094 and 214510103.

It is not an unprimeable number, because it can be changed into a prime (214510123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 219072 + ... + 220048.

It is an arithmetic number, because the mean of its divisors is an integer number (8251875).

Almost surely, 2^214510120 is an apocalyptic number.

214510120 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 214510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264060000).

214510120 is an abundant number, since it is smaller than the sum of its proper divisors (313609880).

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

214510120 is a wasteful number, since it uses less digits than its factorization.

214510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 214510120 is about 14646.1640029053. The cubic root of 214510120 is about 598.6172974855.

Adding to 214510120 its reverse (21015412), we get a palindrome (235525532).

The spelling of 214510120 in words is "two hundred fourteen million, five hundred ten thousand, one hundred twenty".