221242122 has 48 divisors (see below), whose sum is σ = 489869640. Its totient is φ = 72147456.

The previous prime is 221242103. The next prime is 221242127.

221242122 is a `hidden beast` number, since 221 + 2 + 421 + 22 = 666.

221242122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 221146641 + 95481 = 14871^2 + 309^2 .

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 = 221242095 and 221242104.

It is not an unprimeable number, because it can be changed into a prime (221242127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179404 + ... + 180632.

Almost surely, 2^221242122 is an apocalyptic number.

221242122 is an abundant number, since it is smaller than the sum of its proper divisors (268627518).

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

221242122 is a wasteful number, since it uses less digits than its factorization.

221242122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1444 counting only the distinct ones).

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

The square root of 221242122 is about 14874.2099622131. The cubic root of 221242122 is about 604.8150717721.

The spelling of 221242122 in words is "two hundred twenty-one million, two hundred forty-two thousand, one hundred twenty-two".