1314512000 has 128 divisors (see below), whose sum is σ = 3382095600. Its totient is φ = 507494400.

The previous prime is 1314511981. The next prime is 1314512011. The reversal of 1314512000 is 2154131.

It can be written as a sum of positive squares in 8 ways, for example, as 24840256 + 1289671744 = 4984^2 + 35912^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1314512000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462584 + ... + 465416.

Almost surely, 2^1314512000 is an apocalyptic number.

1314512000 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 1314512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691047800).

1314512000 is an abundant number, since it is smaller than the sum of its proper divisors (2067583600).

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

1314512000 is an equidigital number, since it uses as much as digits as its factorization.

1314512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1314512000 is about 36256.1994698838. The cubic root of 1314512000 is about 1095.4389655279.

Adding to 1314512000 its reverse (2154131), we get a palindrome (1316666131).

The spelling of 1314512000 in words is "one billion, three hundred fourteen million, five hundred twelve thousand".