225120500000 has 378 divisors, whose sum is σ = 619088891967. Its totient is φ = 80520000000.

The previous prime is 225120499963. The next prime is 225120500041. The reversal of 225120500000 is 5021522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 211942378384 + 13178121616 = 460372^2 + 114796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335500.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3690499970 + ... + 3690500030.

Almost surely, 2^225120500000 is an apocalyptic number.

225120500000 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 225120500000

225120500000 is an abundant number, since it is smaller than the sum of its proper divisors (393968391967).

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

225120500000 is an frugal number, since it uses more digits than its factorization.

225120500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Multiplying 225120500000 by its product of nonzero digits (200), we get a square (45024100000000 = 6710000²).

225120500000 divided by its product of nonzero digits (200) gives a square (1125602500 = 33550²).

Adding to 225120500000 its reverse (5021522), we get a palindrome (225125521522).

The spelling of 225120500000 in words is "two hundred twenty-five billion, one hundred twenty million, five hundred thousand".