312712002 has 120 divisors (see below), whose sum is σ = 758793420. Its totient is φ = 96180480.

The previous prime is 312711989. The next prime is 312712003. The reversal of 312712002 is 200217213.

It can be written as a sum of positive squares in 2 ways, for example, as 254051721 + 58660281 = 15939^2 + 7659^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312712003) 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 59 ways as a sum of consecutive naturals, for example, 3513574 + ... + 3513662.

Almost surely, 2^312712002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312712002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379396710).

312712002 is an abundant number, since it is smaller than the sum of its proper divisors (446081418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312712002 is a wasteful number, since it uses less digits than its factorization.

312712002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 312712002 is about 17683.6648350957. The cubic root of 312712002 is about 678.7578259835.

Adding to 312712002 its reverse (200217213), we get a palindrome (512929215).

It can be divided in two parts, 3127 and 12002, that added together give a square (15129 = 123²).

The spelling of 312712002 in words is "three hundred twelve million, seven hundred twelve thousand, two".