42201312 has 72 divisors (see below), whose sum is σ = 114825816. Its totient is φ = 13561344.

The previous prime is 42201311. The next prime is 42201317. The reversal of 42201312 is 21310224.

It is a junction number, because it is equal to n+sod(n) for n = 42201291 and 42201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201311) 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, 387114 + ... + 387222.

It is an arithmetic number, because the mean of its divisors is an integer number (1594803).

Almost surely, 2^42201312 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 42201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57412908).

42201312 is an abundant number, since it is smaller than the sum of its proper divisors (72624504).

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

42201312 is a wasteful number, since it uses less digits than its factorization.

42201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42201312 is about 6496.2536896276. The cubic root of 42201312 is about 348.1571492646.

Adding to 42201312 its reverse (21310224), we get a palindrome (63511536).

The spelling of 42201312 in words is "forty-two million, two hundred one thousand, three hundred twelve".