1312405080 has 256 divisors, whose sum is σ = 4702924800. Its totient is φ = 286740480.

The previous prime is 1312405079. The next prime is 1312405097. The reversal of 1312405080 is 805042131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1312405080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1824961 + ... + 1825679.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2^1312405080 is an apocalyptic number.

1312405080 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 1312405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1312405080 is an abundant number, since it is smaller than the sum of its proper divisors (3390519720).

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

1312405080 is a wasteful number, since it uses less digits than its factorization.

1312405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1312405080 is about 36227.1318213297. The cubic root of 1312405080 is about 1094.8533904337.

The spelling of 1312405080 in words is "one billion, three hundred twelve million, four hundred five thousand, eighty".