42220512 has 72 divisors (see below), whose sum is σ = 123963840. Its totient is φ = 13616640.

The previous prime is 42220483. The next prime is 42220513. The reversal of 42220512 is 21502224.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6564 + ... + 11292.

It is an arithmetic number, because the mean of its divisors is an integer number (1721720).

Almost surely, 2^42220512 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 42220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61981920).

42220512 is an abundant number, since it is smaller than the sum of its proper divisors (81743328).

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

42220512 is a wasteful number, since it uses less digits than its factorization.

42220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4765 counting only the distinct ones).

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

The square root of 42220512 is about 6497.7312963834. The cubic root of 42220512 is about 348.2099407021.

Adding to 42220512 its reverse (21502224), we get a palindrome (63722736).

The spelling of 42220512 in words is "forty-two million, two hundred twenty thousand, five hundred twelve".