1312240000 has 160 divisors (see below), whose sum is σ = 3345804000. Its totient is φ = 512256000.

The previous prime is 1312239983. The next prime is 1312240001. The reversal of 1312240000 is 422131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3759826 + ... + 3760174.

It is an arithmetic number, because the mean of its divisors is an integer number (20911275).

Almost surely, 2^1312240000 is an apocalyptic number.

1312240000 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 1312240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672902000).

1312240000 is an abundant number, since it is smaller than the sum of its proper divisors (2033564000).

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

1312240000 is an frugal number, since it uses more digits than its factorization.

1312240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1312240000 is about 36224.8533468391. The cubic root of 1312240000 is about 1094.8074833737.

Adding to 1312240000 its reverse (422131), we get a palindrome (1312662131).

The spelling of 1312240000 in words is "one billion, three hundred twelve million, two hundred forty thousand".