420218112 has 72 divisors (see below), whose sum is σ = 1121420160. Its totient is φ = 139694080.

The previous prime is 420218093. The next prime is 420218129. The reversal of 420218112 is 211812024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551812 + ... + 552572.

It is an arithmetic number, because the mean of its divisors is an integer number (15575280).

Almost surely, 2^420218112 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 420218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560710080).

420218112 is an abundant number, since it is smaller than the sum of its proper divisors (701202048).

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

420218112 is an equidigital number, since it uses as much as digits as its factorization.

420218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 420218112 is about 20499.2222291481. Note that the first 5 decimals coincide. The cubic root of 420218112 is about 749.0168522349.

The spelling of 420218112 in words is "four hundred twenty million, two hundred eighteen thousand, one hundred twelve".