125208720000 has 1920 divisors, whose sum is σ = 583125840000. Its totient is φ = 26417664000.

The previous prime is 125208719963. The next prime is 125208720011. The reversal of 125208720000 is 27802521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9631439994 + ... + 9631440006.

It is an arithmetic number, because the mean of its divisors is an integer number (303711375).

Almost surely, 2^125208720000 is an apocalyptic number.

125208720000 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 125208720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291562920000).

125208720000 is an abundant number, since it is smaller than the sum of its proper divisors (457917120000).

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

125208720000 is an frugal number, since it uses more digits than its factorization.

125208720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 125208720000 in words is "one hundred twenty-five billion, two hundred eight million, seven hundred twenty thousand".