312011001312 has 48 divisors (see below), whose sum is σ = 862135666560. Its totient is φ = 98529789312.

The previous prime is 312011001301. The next prime is 312011001349. The reversal of 312011001312 is 213100110213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 312011001291 and 312011001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85527508 + ... + 85531155.

It is an arithmetic number, because the mean of its divisors is an integer number (17961159720).

Almost surely, 2^312011001312 is an apocalyptic number.

312011001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312011001312 is an abundant number, since it is smaller than the sum of its proper divisors (550124665248).

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

312011001312 is a wasteful number, since it uses less digits than its factorization.

312011001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171058695 (or 171058687 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 312011001312 its reverse (213100110213), we get a palindrome (525111111525).

The spelling of 312011001312 in words is "three hundred twelve billion, eleven million, one thousand, three hundred twelve".