225216126000 has 400 divisors, whose sum is σ = 814958464320. Its totient is φ = 59949849600.

The previous prime is 225216125989. The next prime is 225216126001. The reversal of 225216126000 is 621612522.

225216126000 is a `hidden beast` number, since 2 + 2 + 52 + 1 + 6 + 1 + 2 + 600 + 0 = 666.

225216126000 is digitally balanced in base 3, 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 (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225216126001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135917172 + ... + 135918828.

Almost surely, 2^225216126000 is an apocalyptic number.

225216126000 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 225216126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407479232160).

225216126000 is an abundant number, since it is smaller than the sum of its proper divisors (589742338320).

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

225216126000 is a wasteful number, since it uses less digits than its factorization.

225216126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 225216126000 its reverse (621612522), we get a palindrome (225837738522).

The spelling of 225216126000 in words is "two hundred twenty-five billion, two hundred sixteen million, one hundred twenty-six thousand".