125241680880000 has 480 divisors, whose sum is σ = 450554163859800. Its totient is φ = 33382702080000.

The previous prime is 125241680879999. The next prime is 125241680880089. The reversal of 125241680880000 is 88086142521.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1642281871 + ... + 1642358129.

Almost surely, 2^{125241680880000} is an apocalyptic number.

125241680880000 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 125241680880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225277081929900).

125241680880000 is an abundant number, since it is smaller than the sum of its proper divisors (325312482979800).

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

125241680880000 is an equidigital number, since it uses as much as digits as its factorization.

125241680880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78580 (or 78550 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 125241680880000 in words is "one hundred twenty-five trillion, two hundred forty-one billion, six hundred eighty million, eight hundred eighty thousand".