312141404324412 has 288 divisors, whose sum is σ = 909718096967680. Its totient is φ = 92934774109440.

The previous prime is 312141404324383. The next prime is 312141404324413. The reversal of 312141404324412 is 214423404141213.

312141404324412 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 1 + 404 + 3 + 244 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141404324413) 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, 3871288914 + ... + 3871369542.

Almost surely, 2^{312141404324412} 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 312141404324412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454859048483840).

312141404324412 is an abundant number, since it is smaller than the sum of its proper divisors (597576692643268).

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

312141404324412 is a wasteful number, since it uses less digits than its factorization.

312141404324412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90575 (or 90561 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 312141404324412 its reverse (214423404141213), we get a palindrome (526564808465625).

The spelling of 312141404324412 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, three hundred twenty-four thousand, four hundred twelve".