312113124312 has 192 divisors, whose sum is σ = 888603955200. Its totient is φ = 90591137280.

The previous prime is 312113124277. The next prime is 312113124313. The reversal of 312113124312 is 213421311213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113124313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28191514 + ... + 28202582.

It is an arithmetic number, because the mean of its divisors is an integer number (4628145600).

Almost surely, 2^312113124312 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 312113124312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444301977600).

312113124312 is an abundant number, since it is smaller than the sum of its proper divisors (576490830888).

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

312113124312 is a wasteful number, since it uses less digits than its factorization.

312113124312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11241 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 312113124312 its reverse (213421311213), we get a palindrome (525534435525).

The spelling of 312113124312 in words is "three hundred twelve billion, one hundred thirteen million, one hundred twenty-four thousand, three hundred twelve".