312130441434 has 256 divisors, whose sum is σ = 815372697600. Its totient is φ = 77566934016.

The previous prime is 312130441433. The next prime is 312130441499. The reversal of 312130441434 is 434144031213.

It is not an unprimeable number, because it can be changed into a prime (312130441433) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 60972327 + ... + 60977445.

It is an arithmetic number, because the mean of its divisors is an integer number (3185049600).

Almost surely, 2^312130441434 is an apocalyptic number.

312130441434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312130441434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407686348800).

312130441434 is an abundant number, since it is smaller than the sum of its proper divisors (503242256166).

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

312130441434 is a wasteful number, since it uses less digits than its factorization.

312130441434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312130441434 its reverse (434144031213), we get a palindrome (746274472647).

The spelling of 312130441434 in words is "three hundred twelve billion, one hundred thirty million, four hundred forty-one thousand, four hundred thirty-four".