1298847312 has 300 divisors, whose sum is σ = 4436067636. Its totient is φ = 365783040.

The previous prime is 1298847289. The next prime is 1298847313. The reversal of 1298847312 is 2137488921.

It is a happy number.

1298847312 is a `hidden beast` number, since 1 + 298 + 8 + 47 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 1280494656 = 4284^2 + 35784^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298847313) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7175862 + ... + 7176042.

Almost surely, 2^1298847312 is an apocalyptic number.

1298847312 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 1298847312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218033818).

1298847312 is an abundant number, since it is smaller than the sum of its proper divisors (3137220324).

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

1298847312 is a wasteful number, since it uses less digits than its factorization.

1298847312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1298847312 is about 36039.5243031869. The cubic root of 1298847312 is about 1091.0702144742.

The spelling of 1298847312 in words is "one billion, two hundred ninety-eight million, eight hundred forty-seven thousand, three hundred twelve".