120084021 has 24 divisors (see below), whose sum is σ = 175682520. Its totient is φ = 79036416.

The previous prime is 120084011. The next prime is 120084023. The reversal of 120084021 is 120480021.

It can be written as a sum of positive squares in 4 ways, for example, as 12215025 + 107868996 = 3495^2 + 10386^2 .

It is not a de Polignac number, because 120084021 - 2¹⁷ = 119952949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120083985 and 120084003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120084023) 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, 446275 + ... + 446543.

It is an arithmetic number, because the mean of its divisors is an integer number (7320105).

Almost surely, 2^120084021 is an apocalyptic number.

It is an amenable number.

120084021 is a deficient number, since it is larger than the sum of its proper divisors (55598499).

120084021 is a wasteful number, since it uses less digits than its factorization.

120084021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120084021 is about 10958.2854954596. The cubic root of 120084021 is about 493.3575066781.

The spelling of 120084021 in words is "one hundred twenty million, eighty-four thousand, twenty-one".