1312899840 has 576 divisors, whose sum is σ = 5470725120. Its totient is φ = 295612416.

The previous prime is 1312899821. The next prime is 1312899857. The reversal of 1312899840 is 489982131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19595487 + ... + 19595553.

Almost surely, 2^1312899840 is an apocalyptic number.

1312899840 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 1312899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735362560).

1312899840 is an abundant number, since it is smaller than the sum of its proper divisors (4157825280).

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

1312899840 is an frugal number, since it uses more digits than its factorization.

1312899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1312899840 is about 36233.9597615276. The cubic root of 1312899840 is about 1094.9909550763.

The spelling of 1312899840 in words is "one billion, three hundred twelve million, eight hundred ninety-nine thousand, eight hundred forty".