221120424 has 96 divisors (see below), whose sum is σ = 691629120. Its totient is φ = 62512128.

The previous prime is 221120407. The next prime is 221120429. The reversal of 221120424 is 424021122.

221120424 is a `hidden beast` number, since 221 + 1 + 20 + 424 = 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 = 221120397 and 221120406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120429) by changing a digit.

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, 46627 + ... + 51149.

It is an arithmetic number, because the mean of its divisors is an integer number (7204470).

Almost surely, 2^221120424 is an apocalyptic number.

221120424 is a gapful number since it is divisible by the number (24) 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 221120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345814560).

221120424 is an abundant number, since it is smaller than the sum of its proper divisors (470508696).

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

221120424 is a wasteful number, since it uses less digits than its factorization.

221120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221120424 is about 14870.1184931392. The cubic root of 221120424 is about 604.7041551529.

Adding to 221120424 its reverse (424021122), we get a palindrome (645141546).

The spelling of 221120424 in words is "two hundred twenty-one million, one hundred twenty thousand, four hundred twenty-four".