42120312 has 64 divisors (see below), whose sum is σ = 114401280. Its totient is φ = 12845952.

The previous prime is 42120301. The next prime is 42120367. The reversal of 42120312 is 21302124.

It is a junction number, because it is equal to n+sod(n) for n = 42120291 and 42120300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39093 + ... + 40155.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^42120312 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 42120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200640).

42120312 is an abundant number, since it is smaller than the sum of its proper divisors (72280968).

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

42120312 is a wasteful number, since it uses less digits than its factorization.

42120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

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

The square root of 42120312 is about 6490.0163327992. The cubic root of 42120312 is about 347.9342589516.

Adding to 42120312 its reverse (21302124), we get a palindrome (63422436).

The spelling of 42120312 in words is "forty-two million, one hundred twenty thousand, three hundred twelve".