125505811200 has 864 divisors, whose sum is σ = 538997501952. Its totient is φ = 24938496000.

The previous prime is 125505811183. The next prime is 125505811229. The reversal of 125505811200 is 2118505521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 34001355 + ... + 34005045.

Almost surely, 2^125505811200 is an apocalyptic number.

125505811200 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 125505811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269498750976).

125505811200 is an abundant number, since it is smaller than the sum of its proper divisors (413491690752).

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

125505811200 is a wasteful number, since it uses less digits than its factorization.

125505811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 125505811200 in words is "one hundred twenty-five billion, five hundred five million, eight hundred eleven thousand, two hundred".