314104124200 has 48 divisors (see below), whose sum is σ = 748104110460. Its totient is φ = 122577216000.

The previous prime is 314104124197. The next prime is 314104124207. The reversal of 314104124200 is 2421401413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 116689193604 + 197414930596 = 341598^2 + 444314^2 .

It is a super-2 number, since 2×314104124200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314104124207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19144491 + ... + 19160890.

Almost surely, 2^314104124200 is an apocalyptic number.

It is an amenable number.

314104124200 is an abundant number, since it is smaller than the sum of its proper divisors (433999986260).

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

314104124200 is a wasteful number, since it uses less digits than its factorization.

314104124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38305438 (or 38305429 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 314104124200 its reverse (2421401413), we get a palindrome (316525525613).

The spelling of 314104124200 in words is "three hundred fourteen billion, one hundred four million, one hundred twenty-four thousand, two hundred".