126068025170000 has 100 divisors (see below), whose sum is σ = 305401934738340. Its totient is φ = 50397696384000.

The previous prime is 126068025169963. The next prime is 126068025170023. The reversal of 126068025170000 is 71520860621.

It can be written as a sum of positive squares in 10 ways, for example, as 120221049695296 + 5846975474704 = 10964536^2 + 2418052^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13401644 + ... + 20778356.

Almost surely, 2^{126068025170000} is an apocalyptic number.

126068025170000 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 126068025170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152700967369170).

126068025170000 is an abundant number, since it is smaller than the sum of its proper divisors (179333909568340).

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

126068025170000 is an equidigital number, since it uses as much as digits as its factorization.

126068025170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378450 (or 7378429 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 126068025170000 in words is "one hundred twenty-six trillion, sixty-eight billion, twenty-five million, one hundred seventy thousand".