45042120 has 48 divisors (see below), whose sum is σ = 146388060. Its totient is φ = 12011136.

The previous prime is 45042091. The next prime is 45042131. The reversal of 45042120 is 2124054.

45042120 is a `hidden beast` number, since 450 + 4 + 212 + 0 = 666.

45042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44916804 + 125316 = 6702^2 + 354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45042093 and 45042102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62199 + ... + 62918.

Almost surely, 2^45042120 is an apocalyptic number.

45042120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45042120 is an abundant number, since it is smaller than the sum of its proper divisors (101345940).

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

45042120 is a wasteful number, since it uses less digits than its factorization.

45042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125134 (or 125127 counting only the distinct ones).

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

The square root of 45042120 is about 6711.3426376546. The cubic root of 45042120 is about 355.8002709139.

Adding to 45042120 its reverse (2124054), we get a palindrome (47166174).

The spelling of 45042120 in words is "forty-five million, forty-two thousand, one hundred twenty".