225561267001220 has 48 divisors (see below), whose sum is σ = 490106484529200. Its totient is φ = 87096592128000.

The previous prime is 225561267001207. The next prime is 225561267001261. The reversal of 225561267001220 is 22100762165522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23396491608064 + 202164775393156 = 4836992^2 + 14218466^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34308281 + ... + 40350720.

It is an arithmetic number, because the mean of its divisors is an integer number (10210551761025).

Almost surely, 2^{225561267001220} is an apocalyptic number.

225561267001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225561267001220 is an abundant number, since it is smaller than the sum of its proper divisors (264545217527980).

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

225561267001220 is a wasteful number, since it uses less digits than its factorization.

225561267001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74664248 (or 74664246 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 225561267001220 in words is "two hundred twenty-five trillion, five hundred sixty-one billion, two hundred sixty-seven million, one thousand, two hundred twenty".