125321445440000 has 200 divisors, whose sum is σ = 312988881575700. Its totient is φ = 50113937408000.

The previous prime is 125321445439997. The next prime is 125321445440011. The reversal of 125321445440000 is 44544123521.

It is a happy number.

125321445440000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 5240876175616 + 120080569264384 = 2289296^2 + 10958128^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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, 1130504576 + ... + 1130615424.

Almost surely, 2^{125321445440000} is an apocalyptic number.

125321445440000 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 125321445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156494440787850).

125321445440000 is an abundant number, since it is smaller than the sum of its proper divisors (187667436135700).

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

125321445440000 is an frugal number, since it uses more digits than its factorization.

125321445440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114420 (or 114389 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 125321445440000 its reverse (44544123521), we get a palindrome (125365989563521).

The spelling of 125321445440000 in words is "one hundred twenty-five trillion, three hundred twenty-one billion, four hundred forty-five million, four hundred forty thousand".