125560341043200 has 3456 divisors, whose sum is σ = 547753091558400. Its totient is φ = 27916322734080.

The previous prime is 125560341043199. The next prime is 125560341043217. The reversal of 125560341043200 is 2340143065521.

125560341043200 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 603 + 4 + 1 + 0 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 751858329517 + ... + 751858329683.

It is an arithmetic number, because the mean of its divisors is an integer number (158493371400).

Almost surely, 2^{125560341043200} is an apocalyptic number.

125560341043200 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 125560341043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273876545779200).

125560341043200 is an abundant number, since it is smaller than the sum of its proper divisors (422192750515200).

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

125560341043200 is an equidigital number, since it uses as much as digits as its factorization.

125560341043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 125560341043200 in words is "one hundred twenty-five trillion, five hundred sixty billion, three hundred forty-one million, forty-three thousand, two hundred".