312032010312 has 768 divisors, whose sum is σ = 1059749982720. Its totient is φ = 81749606400.

The previous prime is 312032010307. The next prime is 312032010331. The reversal of 312032010312 is 213010230213.

312032010312 is a `hidden beast` number, since 3 + 1 + 20 + 320 + 10 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1294738512 + ... + 1294738752.

It is an arithmetic number, because the mean of its divisors is an integer number (1379882790).

Almost surely, 2^312032010312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312032010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529874991360).

312032010312 is an abundant number, since it is smaller than the sum of its proper divisors (747717972408).

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

312032010312 is a wasteful number, since it uses less digits than its factorization.

312032010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312032010312 its reverse (213010230213), we get a palindrome (525042240525).

The spelling of 312032010312 in words is "three hundred twelve billion, thirty-two million, ten thousand, three hundred twelve".