312334212120000 has 560 divisors, whose sum is σ = 1181926917718272. Its totient is φ = 71284469760000.

The previous prime is 312334212119977. The next prime is 312334212120079. The reversal of 312334212120000 is 21212433213.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 565043755 + ... + 565596245.

Almost surely, 2^{312334212120000} is an apocalyptic number.

312334212120000 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 312334212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590963458859136).

312334212120000 is an abundant number, since it is smaller than the sum of its proper divisors (869592705598272).

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

312334212120000 is an equidigital number, since it uses as much as digits as its factorization.

312334212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553206 (or 553181 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312334212120000 its reverse (21212433213), we get a palindrome (312355424553213).

The spelling of 312334212120000 in words is "three hundred twelve trillion, three hundred thirty-four billion, two hundred twelve million, one hundred twenty thousand".