312144140 has 96 divisors (see below), whose sum is σ = 865396224. Its totient is φ = 91560960.

The previous prime is 312144121. The next prime is 312144149. The reversal of 312144140 is 41441213.

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

It is not an unprimeable number, because it can be changed into a prime (312144149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20219 + ... + 32141.

It is an arithmetic number, because the mean of its divisors is an integer number (9014544).

Almost surely, 2^312144140 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 312144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432698112).

312144140 is an abundant number, since it is smaller than the sum of its proper divisors (553252084).

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

312144140 is a wasteful number, since it uses less digits than its factorization.

312144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11967 (or 11965 counting only the distinct ones).

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

The square root of 312144140 is about 17667.6014218116. The cubic root of 312144140 is about 678.3467189366.

Adding to 312144140 its reverse (41441213), we get a palindrome (353585353).

The spelling of 312144140 in words is "three hundred twelve million, one hundred forty-four thousand, one hundred forty".