125224100352 has 270 divisors, whose sum is σ = 392322481551. Its totient is φ = 38434406400.

The previous prime is 125224100329. The next prime is 125224100387. The reversal of 125224100352 is 253001422521.

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.

125224100352 is a `hidden beast` number, since 1 + 2 + 522 + 4 + 100 + 35 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 97433876736 + 27790223616 = 312144^2 + 166704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250224.

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, 312279352 + ... + 312279752.

Almost surely, 2^125224100352 is an apocalyptic number.

125224100352 is a gapful number since it is divisible by the number (12) 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 125224100352

125224100352 is an abundant number, since it is smaller than the sum of its proper divisors (267098381199).

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

125224100352 is an frugal number, since it uses more digits than its factorization.

125224100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125224100352 its reverse (253001422521), we get a palindrome (378225522873).

The spelling of 125224100352 in words is "one hundred twenty-five billion, two hundred twenty-four million, one hundred thousand, three hundred fifty-two".