42205122 has 24 divisors (see below), whose sum is σ = 91567164. Its totient is φ = 14049504.

The previous prime is 42205103. The next prime is 42205129. The reversal of 42205122 is 22150224.

It can be written as a sum of positive squares in 2 ways, for example, as 40564161 + 1640961 = 6369^2 + 1281^2 .

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 = 42205095 and 42205104.

It is not an unprimeable number, because it can be changed into a prime (42205129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20868 + ... + 22800.

Almost surely, 2^42205122 is an apocalyptic number.

42205122 is an abundant number, since it is smaller than the sum of its proper divisors (49362042).

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

42205122 is a wasteful number, since it uses less digits than its factorization.

42205122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42205122 is about 6496.5469289462. The cubic root of 42205122 is about 348.1676263387.

Adding to 42205122 its reverse (22150224), we get a palindrome (64355346).

The spelling of 42205122 in words is "forty-two million, two hundred five thousand, one hundred twenty-two".