12279264336 has 140 divisors (see below), whose sum is σ = 35801997588. Its totient is φ = 4077983232.

The previous prime is 12279264317. The next prime is 12279264337. The reversal of 12279264336 is 63346297221.

12279264336 is a `hidden beast` number, since 1 + 227 + 92 + 6 + 4 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8328387600 + 3950876736 = 91260^2 + 62856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12279264291 and 12279264300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12279264337) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3415756 + ... + 3419348.

Almost surely, 2^12279264336 is an apocalyptic number.

12279264336 is a gapful number since it is divisible by the number (16) 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 12279264336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900998794).

12279264336 is an abundant number, since it is smaller than the sum of its proper divisors (23522733252).

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

12279264336 is an equidigital number, since it uses as much as digits as its factorization.

12279264336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3891 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 12279264336 in words is "twelve billion, two hundred seventy-nine million, two hundred sixty-four thousand, three hundred thirty-six".