312120003 has 16 divisors (see below), whose sum is σ = 459105696. Its totient is φ = 187388160.

The previous prime is 312119993. The next prime is 312120013. The reversal of 312120003 is 300021213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312119993) and next prime (312120013).

It is not a de Polignac number, because 312120003 - 2⁴ = 312119987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312120013) 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 15 ways as a sum of consecutive naturals, for example, 96000 + ... + 99197.

It is an arithmetic number, because the mean of its divisors is an integer number (28694106).

Almost surely, 2^312120003 is an apocalyptic number.

312120003 is a deficient number, since it is larger than the sum of its proper divisors (146985693).

312120003 is a wasteful number, since it uses less digits than its factorization.

312120003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195254.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312120003 is about 17666.9183221070. The cubic root of 312120003 is about 678.3292337701.

Adding to 312120003 its reverse (300021213), we get a palindrome (612141216).

The spelling of 312120003 in words is "three hundred twelve million, one hundred twenty thousand, three".