120284073 has 36 divisors (see below), whose sum is σ = 217667268. Its totient is φ = 63443520.

The previous prime is 120284053. The next prime is 120284111. The reversal of 120284073 is 370482021.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 82682649 = 6132^2 + 9093^2 .

It is not a de Polignac number, because 120284073 - 2⁸ = 120283817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120284023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4758 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (6046313).

Almost surely, 2^120284073 is an apocalyptic number.

120284073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120284073 is a deficient number, since it is larger than the sum of its proper divisors (97383195).

120284073 is a wasteful number, since it uses less digits than its factorization.

120284073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21014 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120284073 is about 10967.4095847652. The cubic root of 120284073 is about 493.6313216235.

The spelling of 120284073 in words is "one hundred twenty million, two hundred eighty-four thousand, seventy-three".