312321214320 has 160 divisors (see below), whose sum is σ = 976586637312. Its totient is φ = 82564909056.

The previous prime is 312321214243. The next prime is 312321214321. The reversal of 312321214320 is 23412123213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321214321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48246604 + ... + 48253076.

Almost surely, 2^312321214320 is an apocalyptic number.

312321214320 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 312321214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488293318656).

312321214320 is an abundant number, since it is smaller than the sum of its proper divisors (664265422992).

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

312321214320 is a wasteful number, since it uses less digits than its factorization.

312321214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199 (or 8193 counting only the distinct ones).

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

Adding to 312321214320 its reverse (23412123213), we get a palindrome (335733337533).

The spelling of 312321214320 in words is "three hundred twelve billion, three hundred twenty-one million, two hundred fourteen thousand, three hundred twenty".