225211207120 has 40 divisors (see below), whose sum is σ = 527613150240. Its totient is φ = 89396810880.

The previous prime is 225211207103. The next prime is 225211207129. The reversal of 225211207120 is 21702112522.

It is a happy number.

225211207120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225211207129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10734330 + ... + 10755289.

It is an arithmetic number, because the mean of its divisors is an integer number (13190328756).

Almost surely, 2^225211207120 is an apocalyptic number.

225211207120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225211207120 is an abundant number, since it is smaller than the sum of its proper divisors (302401943120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225211207120 is a wasteful number, since it uses less digits than its factorization.

225211207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21489763 (or 21489757 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 225211207120 its reverse (21702112522), we get a palindrome (246913319642).

The spelling of 225211207120 in words is "two hundred twenty-five billion, two hundred eleven million, two hundred seven thousand, one hundred twenty".