314321123200 has 288 divisors, whose sum is σ = 905675850000. Its totient is φ = 107476992000.

The previous prime is 314321123189. The next prime is 314321123213. The reversal of 314321123200 is 2321123413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62874301 + ... + 62879299.

Almost surely, 2^314321123200 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 314321123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452837925000).

314321123200 is an abundant number, since it is smaller than the sum of its proper divisors (591354726800).

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

314321123200 is a wasteful number, since it uses less digits than its factorization.

314321123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 314321123200 its reverse (2321123413), we get a palindrome (316642246613).

The spelling of 314321123200 in words is "three hundred fourteen billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred".