1312809120 has 480 divisors, whose sum is σ = 5488560000. Its totient is φ = 289142784.

The previous prime is 1312809107. The next prime is 1312809167. The reversal of 1312809120 is 219082131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630631 + ... + 2631129.

It is an arithmetic number, because the mean of its divisors is an integer number (11434500).

Almost surely, 2^1312809120 is an apocalyptic number.

1312809120 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 1312809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280000).

1312809120 is an abundant number, since it is smaller than the sum of its proper divisors (4175750880).

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

1312809120 is a wasteful number, since it uses less digits than its factorization.

1312809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1312809120 is about 36232.7078756198. The cubic root of 1312809120 is about 1094.9657335871.

The spelling of 1312809120 in words is "one billion, three hundred twelve million, eight hundred nine thousand, one hundred twenty".