42103332132012 has 288 divisors, whose sum is σ = 113709551155200. Its totient is φ = 13614418621440.

The previous prime is 42103332131947. The next prime is 42103332132013. The reversal of 42103332132012 is 21023123330124.

42103332132012 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 3 + 3 + 321 + 320 + 12 = 666.

42103332132012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42103332132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6528657364 + ... + 6528663812.

It is an arithmetic number, because the mean of its divisors is an integer number (394824830400).

Almost surely, 2^{42103332132012} 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 42103332132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56854775577600).

42103332132012 is an abundant number, since it is smaller than the sum of its proper divisors (71606219023188).

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

42103332132012 is a wasteful number, since it uses less digits than its factorization.

42103332132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42103332132012 its reverse (21023123330124), we get a palindrome (63126455462136).

The spelling of 42103332132012 in words is "forty-two trillion, one hundred three billion, three hundred thirty-two million, one hundred thirty-two thousand, twelve".