1312444080 has 160 divisors (see below), whose sum is σ = 4532299200. Its totient is φ = 349083648.

The previous prime is 1312444079. The next prime is 1312444093. The reversal of 1312444080 is 804442131.

1312444080 is a `hidden beast` number, since 13 + 1 + 244 + 408 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1531012 + ... + 1531868.

It is an arithmetic number, because the mean of its divisors is an integer number (28326870).

Almost surely, 2^1312444080 is an apocalyptic number.

1312444080 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 1312444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266149600).

1312444080 is an abundant number, since it is smaller than the sum of its proper divisors (3219855120).

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

1312444080 is a wasteful number, since it uses less digits than its factorization.

1312444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1312444080 is about 36227.6700879314. The cubic root of 1312444080 is about 1094.8642353727.

The spelling of 1312444080 in words is "one billion, three hundred twelve million, four hundred forty-four thousand, eighty".