312212432101312 has 336 divisors, whose sum is σ = 663807477564000. Its totient is φ = 145517272104960.

The previous prime is 312212432101309. The next prime is 312212432101313. The reversal of 312212432101312 is 213101234212213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312212432101313) 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, 240718913848 + ... + 240718915144.

It is an arithmetic number, because the mean of its divisors is an integer number (1975617492750).

Almost surely, 2^{312212432101312} is an apocalyptic number.

312212432101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312212432101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331903738782000).

312212432101312 is an abundant number, since it is smaller than the sum of its proper divisors (351595045462688).

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

312212432101312 is a wasteful number, since it uses less digits than its factorization.

312212432101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312212432101312 its reverse (213101234212213), we get a palindrome (525313666313525).

The spelling of 312212432101312 in words is "three hundred twelve trillion, two hundred twelve billion, four hundred thirty-two million, one hundred one thousand, three hundred twelve".