125821228176 has 960 divisors, whose sum is σ = 465890181120. Its totient is φ = 32063869440.

The previous prime is 125821228123. The next prime is 125821228201. The reversal of 125821228176 is 671822128521.

125821228176 is a `hidden beast` number, since 1 + 258 + 2 + 1 + 228 + 176 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 753420445 + ... + 753420611.

It is an arithmetic number, because the mean of its divisors is an integer number (485302272).

Almost surely, 2^125821228176 is an apocalyptic number.

125821228176 is a gapful number since it is divisible by the number (16) 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 125821228176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232945090560).

125821228176 is an abundant number, since it is smaller than the sum of its proper divisors (340068952944).

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

125821228176 is a wasteful number, since it uses less digits than its factorization.

125821228176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 125821228176 in words is "one hundred twenty-five billion, eight hundred twenty-one million, two hundred twenty-eight thousand, one hundred seventy-six".