213424120 has 128 divisors (see below), whose sum is σ = 625968000. Its totient is φ = 63553536.

The previous prime is 213424097. The next prime is 213424129. The reversal of 213424120 is 21424312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213424129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60156 + ... + 63604.

It is an arithmetic number, because the mean of its divisors is an integer number (4890375).

Almost surely, 2^213424120 is an apocalyptic number.

213424120 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 213424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984000).

213424120 is an abundant number, since it is smaller than the sum of its proper divisors (412543880).

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

213424120 is a wasteful number, since it uses less digits than its factorization.

213424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 213424120 is about 14609.0424053050. The cubic root of 213424120 is about 597.6053816449.

Adding to 213424120 its reverse (21424312), we get a palindrome (234848432).

The spelling of 213424120 in words is "two hundred thirteen million, four hundred twenty-four thousand, one hundred twenty".