314413222120 has 64 divisors (see below), whose sum is σ = 718317789840. Its totient is φ = 123835392000.

The previous prime is 314413222063. The next prime is 314413222121. The reversal of 314413222120 is 21222314413.

It can be written as a sum of positive squares in 8 ways, for example, as 270144220516 + 44269001604 = 519754^2 + 210402^2 .

It is not an unprimeable number, because it can be changed into a prime (314413222121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1665340 + ... + 1844500.

Almost surely, 2^314413222120 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 314413222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359158894920).

314413222120 is an abundant number, since it is smaller than the sum of its proper divisors (403904567720).

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

314413222120 is a wasteful number, since it uses less digits than its factorization.

314413222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179846 (or 179842 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 314413222120 its reverse (21222314413), we get a palindrome (335635536533).

The spelling of 314413222120 in words is "three hundred fourteen billion, four hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".