225212432000 has 128 divisors (see below), whose sum is σ = 560752405200. Its totient is φ = 89953382400.

The previous prime is 225212431963. The next prime is 225212432021. The reversal of 225212432000 is 234212522.

It can be written as a sum of positive squares in 8 ways, for example, as 9909007936 + 215303424064 = 99544^2 + 464008^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11334074 + ... + 11353926.

Almost surely, 2^225212432000 is an apocalyptic number.

225212432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225212432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280376202600).

225212432000 is an abundant number, since it is smaller than the sum of its proper divisors (335539973200).

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

225212432000 is an equidigital number, since it uses as much as digits as its factorization.

225212432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20591 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 225212432000 its reverse (234212522), we get a palindrome (225446644522).

The spelling of 225212432000 in words is "two hundred twenty-five billion, two hundred twelve million, four hundred thirty-two thousand".