312020054144 has 128 divisors (see below), whose sum is σ = 663820634880. Its totient is φ = 145576837120.

The previous prime is 312020054123. The next prime is 312020054173. The reversal of 312020054144 is 441450020213.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166765529 + ... + 166767399.

It is an arithmetic number, because the mean of its divisors is an integer number (5186098710).

Almost surely, 2^312020054144 is an apocalyptic number.

312020054144 is a gapful number since it is divisible by the number (34) 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 312020054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331910317440).

312020054144 is an abundant number, since it is smaller than the sum of its proper divisors (351800580736).

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

312020054144 is a wasteful number, since it uses less digits than its factorization.

312020054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 312020054144 its reverse (441450020213), we get a palindrome (753470074357).

The spelling of 312020054144 in words is "three hundred twelve billion, twenty million, fifty-four thousand, one hundred forty-four".