42132012 has 96 divisors (see below), whose sum is σ = 111955200. Its totient is φ = 12241152.

The previous prime is 42131989. The next prime is 42132017. The reversal of 42132012 is 21023124.

It is a junction number, because it is equal to n+sod(n) for n = 42131982 and 42132000.

It is not an unprimeable number, because it can be changed into a prime (42132017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303039 + ... + 303177.

It is an arithmetic number, because the mean of its divisors is an integer number (1166200).

Almost surely, 2^42132012 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 42132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977600).

42132012 is an abundant number, since it is smaller than the sum of its proper divisors (69823188).

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

42132012 is a wasteful number, since it uses less digits than its factorization.

42132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

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

The square root of 42132012 is about 6490.9176546926. The cubic root of 42132012 is about 347.9664718656.

Adding to 42132012 its reverse (21023124), we get a palindrome (63155136).

The spelling of 42132012 in words is "forty-two million, one hundred thirty-two thousand, twelve".