1121245225 has 27 divisors (see below), whose sum is σ = 1436874831. Its totient is φ = 867931200.

The previous prime is 1121245187. The next prime is 1121245247. The reversal of 1121245225 is 5225421211.

The square root of 1121245225 is 33485.

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

It can be written as a sum of positive squares in 13 ways, for example, as 936176409 + 185068816 = 30597^2 + 13604^2 .

It is not a de Polignac number, because 1121245225 - 2¹⁵ = 1121212457 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121245225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6194635 + ... + 6194815.

Almost surely, 2^1121245225 is an apocalyptic number.

1121245225 is the 33485-th square number.

1121245225 is the 16743-rd centered octagonal number.

It is an amenable number.

1121245225 is a deficient number, since it is larger than the sum of its proper divisors (315629606).

1121245225 is an frugal number, since it uses more digits than its factorization.

1121245225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The cubic root of 1121245225 is about 1038.8835482688.

Multiplying 1121245225 by its sum of digits (25), we get a square (28031130625 = 167425²).

1121245225 divided by its sum of digits (25) gives a square (44849809 = 6697²).

Multiplying 1121245225 by its product of digits (1600), we get a square (1793992360000 = 1339400²).

Adding to 1121245225 its reverse (5225421211), we get a palindrome (6346666436).

The spelling of 1121245225 in words is "one billion, one hundred twenty-one million, two hundred forty-five thousand, two hundred twenty-five".