120083085 has 24 divisors (see below), whose sum is σ = 208417560. Its totient is φ = 63960192.

The previous prime is 120083083. The next prime is 120083129. The reversal of 120083085 is 580380021.

It is a happy number.

120083085 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 118657449 = 1194^2 + 10893^2 .

It is not a de Polignac number, because 120083085 - 2¹ = 120083083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120083083) 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, 49071 + ... + 51459.

It is an arithmetic number, because the mean of its divisors is an integer number (8684065).

Almost surely, 2^120083085 is an apocalyptic number.

120083085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120083085 is a deficient number, since it is larger than the sum of its proper divisors (88334475).

120083085 is a wasteful number, since it uses less digits than its factorization.

120083085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120083085 is about 10958.2427879656. The cubic root of 120083085 is about 493.3562248427.

The spelling of 120083085 in words is "one hundred twenty million, eighty-three thousand, eighty-five".