314400322120 has 64 divisors (see below), whose sum is σ = 711822291840. Its totient is φ = 124975872000.

The previous prime is 314400322073. The next prime is 314400322123. The reversal of 314400322120 is 21223004413.

It is a super-2 number, since 2×314400322120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314400322091 and 314400322100.

It is not an unprimeable number, because it can be changed into a prime (314400322123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5652445 + ... + 5707795.

It is an arithmetic number, because the mean of its divisors is an integer number (11122223310).

Almost surely, 2^314400322120 is an apocalyptic number.

It is an amenable number.

314400322120 is an abundant number, since it is smaller than the sum of its proper divisors (397421969720).

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

314400322120 is a wasteful number, since it uses less digits than its factorization.

314400322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56246 (or 56242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 314400322120 its reverse (21223004413), we get a palindrome (335623326533).

The spelling of 314400322120 in words is "three hundred fourteen billion, four hundred million, three hundred twenty-two thousand, one hundred twenty".