226128125000 has 108 divisors (see below), whose sum is σ = 531965059665. Its totient is φ = 90115000000.

The previous prime is 226128124973. The next prime is 226128125017. The reversal of 226128125000 is 521821622.

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 14 ways, for example, as 47704675396 + 178423449604 = 218414^2 + 422402^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336250.

It is a super-2 number, since 2×226128125000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 840624866 + ... + 840625134.

Almost surely, 2^226128125000 is an apocalyptic number.

226128125000 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 226128125000

226128125000 is an abundant number, since it is smaller than the sum of its proper divisors (305836934665).

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

226128125000 is an frugal number, since it uses more digits than its factorization.

226128125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 226128125000 its reverse (521821622), we get a palindrome (226649946622).

The spelling of 226128125000 in words is "two hundred twenty-six billion, one hundred twenty-eight million, one hundred twenty-five thousand".