42202120 has 32 divisors (see below), whose sum is σ = 97274520. Its totient is φ = 16468480.

The previous prime is 42202001. The next prime is 42202123. The reversal of 42202120 is 2120224.

It can be written as a sum of positive squares in 4 ways, for example, as 11930116 + 30272004 = 3454^2 + 5502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42202120.

It is not an unprimeable number, because it can be changed into a prime (42202123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11227 + ... + 14506.

Almost surely, 2^42202120 is an apocalyptic number.

42202120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42202120 is an abundant number, since it is smaller than the sum of its proper divisors (55072400).

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

42202120 is a wasteful number, since it uses less digits than its factorization.

42202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25785 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 42202120 is about 6496.3158790194. The cubic root of 42202120 is about 348.1593712269.

Adding to 42202120 its reverse (2120224), we get a palindrome (44322344).

The spelling of 42202120 in words is "forty-two million, two hundred two thousand, one hundred twenty".