12284397225 has 63 divisors (see below), whose sum is σ = 22866383029. Its totient is φ = 6543698400.

The previous prime is 12284397193. The next prime is 12284397263. The reversal of 12284397225 is 52279348221.

The square root of 12284397225 is 110835.

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

12284397225 is a `hidden beast` number, since 12 + 28 + 4 + 397 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1668804201 + 10615593024 = 40851^2 + 103032^2 .

It is not a de Polignac number, because 12284397225 - 2⁵ = 12284397193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14962315 + ... + 14963135.

Almost surely, 2^12284397225 is an apocalyptic number.

12284397225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12284397225 is the 110835-th square number.

12284397225 is the 55418-th centered octagonal number.

It is an amenable number.

12284397225 is a deficient number, since it is larger than the sum of its proper divisors (10581985804).

12284397225 is an frugal number, since it uses more digits than its factorization.

12284397225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 829 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12284397225 in words is "twelve billion, two hundred eighty-four million, three hundred ninety-seven thousand, two hundred twenty-five".