111012244225 has 27 divisors (see below), whose sum is σ = 141554742651. Its totient is φ = 86361552000.

The previous prime is 111012244183. The next prime is 111012244249. The reversal of 111012244225 is 522442210111.

The square root of 111012244225 is 333185.

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 66918963969 + 44093280256 = 258687^2 + 209984^2 .

It is not a de Polignac number, because 111012244225 - 2⁷ = 111012244097 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 111012244225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61638325 + ... + 61640125.

Almost surely, 2^111012244225 is an apocalyptic number.

111012244225 is the 333185-th square number.

111012244225 is the 166593-rd centered octagonal number.

It is an amenable number.

111012244225 is a deficient number, since it is larger than the sum of its proper divisors (30542498426).

111012244225 is an frugal number, since it uses more digits than its factorization.

111012244225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Multiplying 111012244225 by its sum of digits (25), we get a square (2775306105625 = 1665925²).

111012244225 divided by its sum of digits (25) gives a square (4440489769 = 66637²).

Adding to 111012244225 its reverse (522442210111), we get a palindrome (633454454336).

The spelling of 111012244225 in words is "one hundred eleven billion, twelve million, two hundred forty-four thousand, two hundred twenty-five".