125515720000 has 210 divisors, whose sum is σ = 342117982514. Its totient is φ = 45640320000.

The previous prime is 125515719997. The next prime is 125515720039. The reversal of 125515720000 is 27515521.

It can be written as a sum of positive squares in 5 ways, for example, as 67758172416 + 57757547584 = 260304^2 + 240328^2 .

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 29 ways as a sum of consecutive naturals, for example, 4827034 + ... + 4852966.

Almost surely, 2^125515720000 is an apocalyptic number.

125515720000 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 125515720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171058991257).

125515720000 is an abundant number, since it is smaller than the sum of its proper divisors (216602262514).

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

125515720000 is an equidigital number, since it uses as much as digits as its factorization.

125515720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25987 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 125515720000 in words is "one hundred twenty-five billion, five hundred fifteen million, seven hundred twenty thousand".