312234141130212 has 288 divisors, whose sum is σ = 902394467251200. Its totient is φ = 83593880418048.

The previous prime is 312234141130129. The next prime is 312234141130213. The reversal of 312234141130212 is 212031141432213.

It is a super-2 number, since 2×312234141130212² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312234141130212.

It is not an unprimeable number, because it can be changed into a prime (312234141130213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472022239 + ... + 472683257.

It is an arithmetic number, because the mean of its divisors is an integer number (3133314122400).

Almost surely, 2^{312234141130212} 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 312234141130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451197233625600).

312234141130212 is an abundant number, since it is smaller than the sum of its proper divisors (590160326120988).

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

312234141130212 is a wasteful number, since it uses less digits than its factorization.

312234141130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661775 (or 661766 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 312234141130212 its reverse (212031141432213), we get a palindrome (524265282562425).

The spelling of 312234141130212 in words is "three hundred twelve trillion, two hundred thirty-four billion, one hundred forty-one million, one hundred thirty thousand, two hundred twelve".