221334120 has 192 divisors, whose sum is σ = 852808320. Its totient is φ = 50575104.

The previous prime is 221334109. The next prime is 221334121. The reversal of 221334120 is 21433122.

221334120 is a `hidden beast` number, since 221 + 33 + 412 + 0 = 666.

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 = 221334093 and 221334102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221334121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66414 + ... + 69666.

It is an arithmetic number, because the mean of its divisors is an integer number (4441710).

Almost surely, 2^221334120 is an apocalyptic number.

221334120 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 221334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426404160).

221334120 is an abundant number, since it is smaller than the sum of its proper divisors (631474200).

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

221334120 is a wasteful number, since it uses less digits than its factorization.

221334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221334120 is about 14877.3021747896. The cubic root of 221334120 is about 604.8988925591.

Adding to 221334120 its reverse (21433122), we get a palindrome (242767242).

The spelling of 221334120 in words is "two hundred twenty-one million, three hundred thirty-four thousand, one hundred twenty".