312132422340144 has 320 divisors, whose sum is σ = 1057066709114880. Its totient is φ = 86294884515840.

The previous prime is 312132422340139. The next prime is 312132422340149. The reversal of 312132422340144 is 441043224231213.

312132422340144 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 24 + 223 + 401 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (312132422340139) and next prime (312132422340149).

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

It is a junction number, because it is equal to n+sod(n) for n = 312132422340099 and 312132422340108.

It is not an unprimeable number, because it can be changed into a prime (312132422340149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923865712 + ... + 924203504.

It is an arithmetic number, because the mean of its divisors is an integer number (3303333465984).

Almost surely, 2^{312132422340144} 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 312132422340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528533354557440).

312132422340144 is an abundant number, since it is smaller than the sum of its proper divisors (744934286774736).

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

312132422340144 is a wasteful number, since it uses less digits than its factorization.

312132422340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347705 (or 347693 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 312132422340144 its reverse (441043224231213), we get a palindrome (753175646571357).

The spelling of 312132422340144 in words is "three hundred twelve trillion, one hundred thirty-two billion, four hundred twenty-two million, three hundred forty thousand, one hundred forty-four".