214213120 has 80 divisors (see below), whose sum is σ = 560374848. Its totient is φ = 77885440.

The previous prime is 214213081. The next prime is 214213157. The reversal of 214213120 is 21312412.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 214213094 and 214213103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24357 + ... + 31963.

Almost surely, 2^214213120 is an apocalyptic number.

214213120 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 214213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280187424).

214213120 is an abundant number, since it is smaller than the sum of its proper divisors (346161728).

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

214213120 is an equidigital number, since it uses as much as digits as its factorization.

214213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7625 counting only the distinct ones).

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

The square root of 214213120 is about 14636.0213172843. The cubic root of 214213120 is about 598.3408980111.

Adding to 214213120 its reverse (21312412), we get a palindrome (235525532).

The spelling of 214213120 in words is "two hundred fourteen million, two hundred thirteen thousand, one hundred twenty".