1314322205200 has 60 divisors (see below), whose sum is σ = 3159218846160. Its totient is φ = 525469194880.

The previous prime is 1314322205117. The next prime is 1314322205263. The reversal of 1314322205200 is 25022234131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 1621309.

It is an arithmetic number, because the mean of its divisors is an integer number (52653647436).

Almost surely, 2^{1314322205200} is an apocalyptic number.

1314322205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314322205200 is an abundant number, since it is smaller than the sum of its proper divisors (1844896640960).

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

1314322205200 is a wasteful number, since it uses less digits than its factorization.

1314322205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623064 (or 1623053 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1314322205200 its reverse (25022234131), we get a palindrome (1339344439331).

The spelling of 1314322205200 in words is "one trillion, three hundred fourteen billion, three hundred twenty-two million, two hundred five thousand, two hundred".