125105870160000 has 480 divisors, whose sum is σ = 449973137113500. Its totient is φ = 33353358336000.

The previous prime is 125105870159999. The next prime is 125105870160001. The reversal of 125105870160000 is 61078501521.

125105870160000 is a `hidden beast` number, since 1 + 2 + 5 + 10 + 587 + 0 + 1 + 60 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125105870159999) and next prime (125105870160001).

It can be written as a sum of positive squares in 10 ways, for example, as 7146982011456 + 117958888148544 = 2673384^2 + 10860888^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (125105870160001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3275260902 + ... + 3275299098.

Almost surely, 2^{125105870160000} is an apocalyptic number.

125105870160000 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 125105870160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224986568556750).

125105870160000 is an abundant number, since it is smaller than the sum of its proper divisors (324867266953500).

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

125105870160000 is an equidigital number, since it uses as much as digits as its factorization.

125105870160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42786 (or 42756 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 125105870160000 in words is "one hundred twenty-five trillion, one hundred five billion, eight hundred seventy million, one hundred sixty thousand".