1312004320 has 192 divisors, whose sum is σ = 3535902720. Its totient is φ = 455731200.

The previous prime is 1312004311. The next prime is 1312004339. The reversal of 1312004320 is 234002131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1312004294 and 1312004303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7583754 + ... + 7583926.

It is an arithmetic number, because the mean of its divisors is an integer number (18416160).

Almost surely, 2^1312004320 is an apocalyptic number.

1312004320 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 1312004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767951360).

1312004320 is an abundant number, since it is smaller than the sum of its proper divisors (2223898400).

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

1312004320 is a wasteful number, since it uses less digits than its factorization.

1312004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1312004320 is about 36221.6001855247. The cubic root of 1312004320 is about 1094.7419365031.

Adding to 1312004320 its reverse (234002131), we get a palindrome (1546006451).

The spelling of 1312004320 in words is "one billion, three hundred twelve million, four thousand, three hundred twenty".