312231330432 has 576 divisors, whose sum is σ = 1070543448000. Its totient is φ = 87310605312.

The previous prime is 312231330421. The next prime is 312231330443. The reversal of 312231330432 is 234033132213.

312231330432 is a `hidden beast` number, since 3 + 1 + 223 + 1 + 3 + 3 + 0 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (312231330421) and next prime (312231330443).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 312231330396 and 312231330405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1375468303 + ... + 1375468529.

It is an arithmetic number, because the mean of its divisors is an integer number (1858582375).

Almost surely, 2^312231330432 is an apocalyptic number.

312231330432 is a gapful number since it is divisible by the number (32) 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 312231330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535271724000).

312231330432 is an abundant number, since it is smaller than the sum of its proper divisors (758312117568).

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

312231330432 is an equidigital number, since it uses as much as digits as its factorization.

312231330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312231330432 its reverse (234033132213), we get a palindrome (546264462645).

The spelling of 312231330432 in words is "three hundred twelve billion, two hundred thirty-one million, three hundred thirty thousand, four hundred thirty-two".