1312817200 has 60 divisors (see below), whose sum is σ = 3163727320. Its totient is φ = 523514880.

The previous prime is 1312817189. The next prime is 1312817249. The reversal of 1312817200 is 27182131.

It is a happy number.

It is a super-3 number, since 3×1312817200³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129931 + ... + 139669.

Almost surely, 2^1312817200 is an apocalyptic number.

1312817200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581863660).

1312817200 is an abundant number, since it is smaller than the sum of its proper divisors (1850910120).

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

1312817200 is a wasteful number, since it uses less digits than its factorization.

1312817200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1312817200 is about 36232.8193769130. The cubic root of 1312817200 is about 1094.9679799926.

Adding to 1312817200 its reverse (27182131), we get a palindrome (1339999331).

The spelling of 1312817200 in words is "one billion, three hundred twelve million, eight hundred seventeen thousand, two hundred".