125128366272 has 1344 divisors, whose sum is σ = 503324774400. Its totient is φ = 30098718720.

The previous prime is 125128366271. The next prime is 125128366327. The reversal of 125128366272 is 272663821521.

125128366272 is a `hidden beast` number, since 1 + 2 + 5 + 12 + 8 + 3 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (125128366271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 648333408 + ... + 648333600.

It is an arithmetic number, because the mean of its divisors is an integer number (374497600).

Almost surely, 2^125128366272 is an apocalyptic number.

125128366272 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 125128366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251662387200).

125128366272 is an abundant number, since it is smaller than the sum of its proper divisors (378196408128).

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

125128366272 is a wasteful number, since it uses less digits than its factorization.

125128366272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 125128366272 in words is "one hundred twenty-five billion, one hundred twenty-eight million, three hundred sixty-six thousand, two hundred seventy-two".