213444120 has 64 divisors (see below), whose sum is σ = 657652320. Its totient is φ = 55378944.

The previous prime is 213444097. The next prime is 213444137. The reversal of 213444120 is 21444312.

It is a super-3 number, since 3×213444120³ (a number of 26 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 19597 + ... + 28476.

Almost surely, 2^213444120 is an apocalyptic number.

213444120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213444120 is an abundant number, since it is smaller than the sum of its proper divisors (444208200).

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

213444120 is a wasteful number, since it uses less digits than its factorization.

213444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48124 (or 48120 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 213444120 is about 14609.7268968314. The cubic root of 213444120 is about 597.6240482859.

Adding to 213444120 its reverse (21444312), we get a palindrome (234888432).

The spelling of 213444120 in words is "two hundred thirteen million, four hundred forty-four thousand, one hundred twenty".