125411328000 has 1088 divisors, whose sum is σ = 536531274240. Its totient is φ = 28665446400.

The previous prime is 125411327999. The next prime is 125411328001. The reversal of 125411328000 is 823114521.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ 4! ⋅ 2!.

125411328000 is a `hidden beast` number, since 12 + 541 + 1 + 32 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125411327999) and next prime (125411328001).

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 (125411328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17915903997 + ... + 17915904003.

Almost surely, 2^125411328000 is an apocalyptic number.

125411328000 is a gapful number since it is divisible by the number (10) 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 125411328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268265637120).

125411328000 is an abundant number, since it is smaller than the sum of its proper divisors (411119946240).

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

125411328000 is an frugal number, since it uses more digits than its factorization.

125411328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 125411328000 in words is "one hundred twenty-five billion, four hundred eleven million, three hundred twenty-eight thousand".