12890196225 has 105 divisors (see below), whose sum is σ = 24820686703. Its totient is φ = 6637710240.

The previous prime is 12890196223. The next prime is 12890196233. The reversal of 12890196225 is 52269109821.

It is a happy number.

The square root of 12890196225 is 113535.

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

12890196225 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 0 + 19 + 622 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7638585201 + 5251611024 = 87399^2 + 72468^2 .

It is not a de Polignac number, because 12890196225 - 2¹ = 12890196223 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 not an unprimeable number, because it can be changed into a prime (12890196223) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 444489511 + ... + 444489539.

Almost surely, 2^12890196225 is an apocalyptic number.

12890196225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12890196225 is the 113535-th square number.

12890196225 is the 56768-th centered octagonal number.

It is an amenable number.

12890196225 is a deficient number, since it is larger than the sum of its proper divisors (11930490478).

12890196225 is an frugal number, since it uses more digits than its factorization.

12890196225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12890196225 in words is "twelve billion, eight hundred ninety million, one hundred ninety-six thousand, two hundred twenty-five".