12285283921 has 9 divisors (see below), whose sum is σ = 12361006683. Its totient is φ = 12210024240.

The previous prime is 12285283919. The next prime is 12285283939. The reversal of 12285283921 is 12938258221.

The square root of 12285283921 is 110839.

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., 11227733521 + 1057550400 = 105961^2 + 32520^2 .

It is not a de Polignac number, because 12285283921 - 2¹ = 12285283919 is a prime.

It is a super-2 number, since 2×12285283921² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12285283991) 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, 30037165 + ... + 30037573.

It is an arithmetic number, because the mean of its divisors is an integer number (1373445187).

Almost surely, 2^12285283921 is an apocalyptic number.

12285283921 is the 110839-th square number.

12285283921 is the 55420-th centered octagonal number.

It is an amenable number.

12285283921 is a deficient number, since it is larger than the sum of its proper divisors (75722762).

12285283921 is an frugal number, since it uses more digits than its factorization.

12285283921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The spelling of 12285283921 in words is "twelve billion, two hundred eighty-five million, two hundred eighty-three thousand, nine hundred twenty-one".