120683993 has 8 divisors (see below), whose sum is σ = 125209800. Its totient is φ = 116182528.

The previous prime is 120683977. The next prime is 120684007. The reversal of 120683993 is 399386021.

It can be written as a sum of positive squares in 4 ways, for example, as 299209 + 120384784 = 547^2 + 10972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120683993 - 2⁴ = 120683977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120683993.

It is not an unprimeable number, because it can be changed into a prime (120683903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4343 + ... + 16131.

It is an arithmetic number, because the mean of its divisors is an integer number (15651225).

Almost surely, 2^120683993 is an apocalyptic number.

It is an amenable number.

120683993 is a deficient number, since it is larger than the sum of its proper divisors (4525807).

120683993 is a wasteful number, since it uses less digits than its factorization.

120683993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171.

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 120683993 is about 10985.6266548613. The cubic root of 120683993 is about 494.1777909119.

It can be divided in two parts, 12068 and 3993, that added together give a palindrome (16061).

The spelling of 120683993 in words is "one hundred twenty million, six hundred eighty-three thousand, nine hundred ninety-three".