1312399872 has 480 divisors, whose sum is σ = 4749338880. Its totient is φ = 340623360.

The previous prime is 1312399871. The next prime is 1312399883. The reversal of 1312399872 is 2789932131.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (163296) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312399871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21514722 + ... + 21514782.

It is an arithmetic number, because the mean of its divisors is an integer number (9894456).

Almost surely, 2^1312399872 is an apocalyptic number.

1312399872 is a gapful number since it is divisible by the number (12) 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 1312399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374669440).

1312399872 is an abundant number, since it is smaller than the sum of its proper divisors (3436939008).

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

1312399872 is a wasteful number, since it uses less digits than its factorization.

1312399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1312399872 is about 36227.0599414305. The cubic root of 1312399872 is about 1094.8519422009.

The spelling of 1312399872 in words is "one billion, three hundred twelve million, three hundred ninety-nine thousand, eight hundred seventy-two".