312141404000000 has 252 divisors, whose sum is σ = 779520522009600. Its totient is φ = 124744166400000.

The previous prime is 312141403999961. The next prime is 312141404000071. The reversal of 312141404000000 is 404141213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4515965441 + ... + 4516034559.

It is an arithmetic number, because the mean of its divisors is an integer number (3093335404800).

Almost surely, 2^{312141404000000} 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 312141404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389760261004800).

312141404000000 is an abundant number, since it is smaller than the sum of its proper divisors (467379118009600).

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

312141404000000 is an frugal number, since it uses more digits than its factorization.

312141404000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70294 (or 70255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312141404000000 its reverse (404141213), we get a palindrome (312141808141213).

The spelling of 312141404000000 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million", and thus it is an aban number.