1312341200 has 60 divisors (see below), whose sum is σ = 3160794348. Its totient is φ = 523622400.

The previous prime is 1312341179. The next prime is 1312341203. The reversal of 1312341200 is 21432131.

It can be written as a sum of positive squares in 6 ways, for example, as 45265984 + 1267075216 = 6728^2 + 35596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312341203) 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, 164504 + ... + 172296.

Almost surely, 2^1312341200 is an apocalyptic number.

1312341200 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 1312341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580397174).

1312341200 is an abundant number, since it is smaller than the sum of its proper divisors (1848453148).

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

1312341200 is a wasteful number, since it uses less digits than its factorization.

1312341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1312341200 is about 36226.2501509610. The cubic root of 1312341200 is about 1094.8356265155.

Adding to 1312341200 its reverse (21432131), we get a palindrome (1333773331).

The spelling of 1312341200 in words is "one billion, three hundred twelve million, three hundred forty-one thousand, two hundred".