218421120 has 64 divisors (see below), whose sum is σ = 696223440. Its totient is φ = 58245120.

The previous prime is 218421061. The next prime is 218421121. The reversal of 218421120 is 21124812.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218421121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54961 + ... + 58800.

Almost surely, 2^218421120 is an apocalyptic number.

218421120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218421120 is an abundant number, since it is smaller than the sum of its proper divisors (477802320).

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

218421120 is a wasteful number, since it uses less digits than its factorization.

218421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113783 (or 113771 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 218421120 is about 14779.0771024445. The cubic root of 218421120 is about 602.2334536035.

Adding to 218421120 its reverse (21124812), we get a palindrome (239545932).

The spelling of 218421120 in words is "two hundred eighteen million, four hundred twenty-one thousand, one hundred twenty".