312120144000 has 1536 divisors, whose sum is σ = 1383452928000. Its totient is φ = 65840947200.

The previous prime is 312120143987. The next prime is 312120144059. The reversal of 312120144000 is 441021213.

312120144000 is a `hidden beast` number, since 3 + 1 + 21 + 201 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 823535811 + ... + 823536189.

It is an arithmetic number, because the mean of its divisors is an integer number (900685500).

Almost surely, 2^312120144000 is an apocalyptic number.

312120144000 is a gapful number since it is divisible by the number (30) 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 312120144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691726464000).

312120144000 is an abundant number, since it is smaller than the sum of its proper divisors (1071332784000).

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

312120144000 is a wasteful number, since it uses less digits than its factorization.

312120144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312120144000 its reverse (441021213), we get a palindrome (312561165213).

The spelling of 312120144000 in words is "three hundred twelve billion, one hundred twenty million, one hundred forty-four thousand".