314213120000 has 480 divisors, whose sum is σ = 883315873440. Its totient is φ = 110837760000.

The previous prime is 314213119999. The next prime is 314213120041. The reversal of 314213120000 is 21312413.

It is a congruent number.

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, 382719590 + ... + 382720410.

It is an arithmetic number, because the mean of its divisors is an integer number (1840241403).

Almost surely, 2^314213120000 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 314213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441657936720).

314213120000 is an abundant number, since it is smaller than the sum of its proper divisors (569102753440).

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

314213120000 is an equidigital number, since it uses as much as digits as its factorization.

314213120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 314213120000 its reverse (21312413), we get a palindrome (314234432413).

The spelling of 314213120000 in words is "three hundred fourteen billion, two hundred thirteen million, one hundred twenty thousand".