33125412304242 has 48 divisors (see below), whose sum is σ = 74247316416000. Its totient is φ = 10660951345632.

The previous prime is 33125412304151. The next prime is 33125412304247. The reversal of 33125412304242 is 24240321452133.

33125412304242 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 541 + 2 + 30 + 42 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33125412304197 and 33125412304206.

It is not an unprimeable number, because it can be changed into a prime (33125412304247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71208559 + ... + 71672237.

It is an arithmetic number, because the mean of its divisors is an integer number (1546819092000).

Almost surely, 2^{33125412304242} is an apocalyptic number.

33125412304242 is an abundant number, since it is smaller than the sum of its proper divisors (41121904111758).

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

33125412304242 is a wasteful number, since it uses less digits than its factorization.

33125412304242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600575 (or 600572 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 33125412304242 its reverse (24240321452133), we get a palindrome (57365733756375).

The spelling of 33125412304242 in words is "thirty-three trillion, one hundred twenty-five billion, four hundred twelve million, three hundred four thousand, two hundred forty-two".