221042124 has 72 divisors (see below), whose sum is σ = 590269680. Its totient is φ = 69552000.

The previous prime is 221042119. The next prime is 221042137. The reversal of 221042124 is 421240122.

221042124 is a `hidden beast` number, since 221 + 0 + 421 + 24 = 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 = 221042097 and 221042106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314974 + ... + 315674.

It is an arithmetic number, because the mean of its divisors is an integer number (8198190).

Almost surely, 2^221042124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221042124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295134840).

221042124 is an abundant number, since it is smaller than the sum of its proper divisors (369227556).

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

221042124 is a wasteful number, since it uses less digits than its factorization.

221042124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

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

The square root of 221042124 is about 14867.4854632517. The cubic root of 221042124 is about 604.6327703326.

Adding to 221042124 its reverse (421240122), we get a palindrome (642282246).

The spelling of 221042124 in words is "two hundred twenty-one million, forty-two thousand, one hundred twenty-four".