312332211214320 has 240 divisors, whose sum is σ = 1064310781312800. Its totient is φ = 75712763934720.

The previous prime is 312332211214241. The next prime is 312332211214349. The reversal of 312332211214320 is 23412112233213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 549065406 + ... + 549633954.

It is an arithmetic number, because the mean of its divisors is an integer number (4434628255470).

Almost surely, 2^{312332211214320} is an apocalyptic number.

312332211214320 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 312332211214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532155390656400).

312332211214320 is an abundant number, since it is smaller than the sum of its proper divisors (751978570098480).

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

312332211214320 is a wasteful number, since it uses less digits than its factorization.

312332211214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587504 (or 587487 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312332211214320 its reverse (23412112233213), we get a palindrome (335744323447533).

The spelling of 312332211214320 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred eleven million, two hundred fourteen thousand, three hundred twenty".