213441120 has 144 divisors (see below), whose sum is σ = 771301440. Its totient is φ = 53563392.

The previous prime is 213441119. The next prime is 213441133. The reversal of 213441120 is 21144312.

213441120 is a `hidden beast` number, since 213 + 441 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×213441120² = 91114223413708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213441093 and 213441102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20121 + ... + 28839.

It is an arithmetic number, because the mean of its divisors is an integer number (5356260).

Almost surely, 2^213441120 is an apocalyptic number.

213441120 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 213441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385650720).

213441120 is an abundant number, since it is smaller than the sum of its proper divisors (557860320).

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

213441120 is a wasteful number, since it uses less digits than its factorization.

213441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213441120 is about 14609.6242251469. The cubic root of 213441120 is about 597.6212483641.

Adding to 213441120 its reverse (21144312), we get a palindrome (234585432).

The spelling of 213441120 in words is "two hundred thirteen million, four hundred forty-one thousand, one hundred twenty".