42120045 has 24 divisors (see below), whose sum is σ = 79646112. Its totient is φ = 20421600.

The previous prime is 42120007. The next prime is 42120049. The reversal of 42120045 is 54002124.

42120045 is a `hidden beast` number, since 421 + 200 + 45 = 666.

42120045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42120045 - 2⁶ = 42119981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42051 + ... + 43040.

It is an arithmetic number, because the mean of its divisors is an integer number (3318588).

Almost surely, 2^42120045 is an apocalyptic number.

42120045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42120045 is a deficient number, since it is larger than the sum of its proper divisors (37526067).

42120045 is a wasteful number, since it uses less digits than its factorization.

42120045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85113 (or 85110 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42120045 is about 6489.9957627105. The cubic root of 42120045 is about 347.9335237668.

Adding to 42120045 its reverse (54002124), we get a palindrome (96122169).

The spelling of 42120045 in words is "forty-two million, one hundred twenty thousand, forty-five".