213242120 has 96 divisors (see below), whose sum is σ = 601133400. Its totient is φ = 67479552.

The previous prime is 213242083. The next prime is 213242129. The reversal of 213242120 is 21242312.

It can be written as a sum of positive squares in 4 ways, for example, as 156300004 + 56942116 = 12502^2 + 7546^2 .

It is not an unprimeable number, because it can be changed into a prime (213242129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21296 + ... + 29664.

Almost surely, 2^213242120 is an apocalyptic number.

213242120 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 213242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300566700).

213242120 is an abundant number, since it is smaller than the sum of its proper divisors (387891280).

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

213242120 is a wasteful number, since it uses less digits than its factorization.

213242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 213242120 is about 14602.8120579565. The cubic root of 213242120 is about 597.4354615959.

Adding to 213242120 its product of nonzero digits (192), we get a palindrome (213242312).

Adding to 213242120 its reverse (21242312), we get a palindrome (234484432).

The spelling of 213242120 in words is "two hundred thirteen million, two hundred forty-two thousand, one hundred twenty".