42112512 has 240 divisors, whose sum is σ = 141501360. Its totient is φ = 11943936.

The previous prime is 42112507. The next prime is 42112513. The reversal of 42112512 is 21521124.

42112512 is a `hidden beast` number, since 42 + 112 + 512 = 666.

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 (42112513) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1138158 + ... + 1138194.

It is an arithmetic number, because the mean of its divisors is an integer number (589589).

Almost surely, 2^42112512 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 42112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70750680).

42112512 is an abundant number, since it is smaller than the sum of its proper divisors (99388848).

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

42112512 is a wasteful number, since it uses less digits than its factorization.

42112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 42112512 is about 6489.4153819894. The cubic root of 42112512 is about 347.9127803614.

Adding to 42112512 its reverse (21521124), we get a palindrome (63633636).

It can be divided in two parts, 42112 and 512, that added together give a palindrome (42624).

The spelling of 42112512 in words is "forty-two million, one hundred twelve thousand, five hundred twelve".