312223200320000 has 400 divisors, whose sum is σ = 794888774469504. Its totient is φ = 122444544000000.

The previous prime is 312223200319997. The next prime is 312223200320011. The reversal of 312223200320000 is 23002322213.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6070694285 + ... + 6070745715.

Almost surely, 2^{312223200320000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312223200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397444387234752).

312223200320000 is an abundant number, since it is smaller than the sum of its proper divisors (482665574149504).

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

312223200320000 is an frugal number, since it uses more digits than its factorization.

312223200320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51841 (or 51810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 312223200320000 its reverse (23002322213), we get a palindrome (312246202642213).

The spelling of 312223200320000 in words is "three hundred twelve trillion, two hundred twenty-three billion, two hundred million, three hundred twenty thousand".