1312080000 has 640 divisors, whose sum is σ = 5506237440. Its totient is φ = 268800000.

The previous prime is 1312079999. The next prime is 1312080001. The reversal of 1312080000 is 802131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1312079999) and next prime (1312080001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1312080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479965 + ... + 18480035.

It is an arithmetic number, because the mean of its divisors is an integer number (8603496).

Almost surely, 2^1312080000 is an apocalyptic number.

1312080000 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 1312080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753118720).

1312080000 is an abundant number, since it is smaller than the sum of its proper divisors (4194157440).

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

1312080000 is an equidigital number, since it uses as much as digits as its factorization.

1312080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1312080000 is about 36222.6448509769. The cubic root of 1312080000 is about 1094.7629853354.

Adding to 1312080000 its reverse (802131), we get a palindrome (1312882131).

The spelling of 1312080000 in words is "one billion, three hundred twelve million, eighty thousand".