12011283216 has 45 divisors (see below), whose sum is σ = 33618591669. Its totient is φ = 4003322688.

The previous prime is 12011283197. The next prime is 12011283223. The reversal of 12011283216 is 61238211021.

The square root of 12011283216 is 109596.

It is a perfect power (a square), and thus also a powerful number.

12011283216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9600080400 + 2411202816 = 97980^2 + 49104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12011283216.

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 8 ways as a sum of consecutive naturals, for example, 1310586 + ... + 1319718.

Almost surely, 2^12011283216 is an apocalyptic number.

12011283216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12011283216 is the 109596-th square number.

It is an amenable number.

12011283216 is an abundant number, since it is smaller than the sum of its proper divisors (21607308453).

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

12011283216 is an frugal number, since it uses more digits than its factorization.

12011283216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 12011283216 its reverse (61238211021), we get a palindrome (73249494237).

The spelling of 12011283216 in words is "twelve billion, eleven million, two hundred eighty-three thousand, two hundred sixteen".