1331279712 has 240 divisors, whose sum is σ = 4507937280. Its totient is φ = 377540352.

The previous prime is 1331279681. The next prime is 1331279723. The reversal of 1331279712 is 2179721331.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4336263 + ... + 4336569.

It is an arithmetic number, because the mean of its divisors is an integer number (18783072).

Almost surely, 2^1331279712 is an apocalyptic number.

1331279712 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 1331279712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253968640).

1331279712 is an abundant number, since it is smaller than the sum of its proper divisors (3176657568).

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

1331279712 is a wasteful number, since it uses less digits than its factorization.

1331279712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1331279712 is about 36486.7059625831. The cubic root of 1331279712 is about 1100.0770502502.

The spelling of 1331279712 in words is "one billion, three hundred thirty-one million, two hundred seventy-nine thousand, seven hundred twelve".