12084824761 has 9 divisors (see below), whose sum is σ = 12165720879. Its totient is φ = 12004465200.

The previous prime is 12084824711. The next prime is 12084824779. The reversal of 12084824761 is 16742848021.

The square root of 12084824761 is 109931.

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

It can be written as a sum of positive squares in only one way, i.e., 3465559161 + 8619265600 = 58869^2 + 92840^2 .

It is not a de Polignac number, because 12084824761 - 2¹⁷ = 12084693689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12084824711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23195181 + ... + 23195701.

Almost surely, 2^12084824761 is an apocalyptic number.

12084824761 is the 109931-st square number.

12084824761 is the 54966-th centered octagonal number.

It is an amenable number.

12084824761 is a deficient number, since it is larger than the sum of its proper divisors (80896118).

12084824761 is an frugal number, since it uses more digits than its factorization.

12084824761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 12084824761 in words is "twelve billion, eighty-four million, eight hundred twenty-four thousand, seven hundred sixty-one".