125044080000 has 960 divisors, whose sum is σ = 499843998720. Its totient is φ = 27659520000.

The previous prime is 125044079999. The next prime is 125044080001. The reversal of 125044080000 is 80440521.

It is an interprime number because it is at equal distance from previous prime (125044079999) and next prime (125044080001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125044080001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4033679985 + ... + 4033680015.

It is an arithmetic number, because the mean of its divisors is an integer number (520670832).

Almost surely, 2^125044080000 is an apocalyptic number.

125044080000 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 125044080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249921999360).

125044080000 is an abundant number, since it is smaller than the sum of its proper divisors (374799918720).

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

125044080000 is an frugal number, since it uses more digits than its factorization.

125044080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 125044080000 in words is "one hundred twenty-five billion, forty-four million, eighty thousand".