125970432000 has 960 divisors, whose sum is σ = 500532963840. Its totient is φ = 27525120000.

The previous prime is 125970431869. The next prime is 125970432019. The reversal of 125970432000 is 234079521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1247231950 + ... + 1247232050.

It is an arithmetic number, because the mean of its divisors is an integer number (521388504).

Almost surely, 2^125970432000 is an apocalyptic number.

125970432000 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 125970432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250266481920).

125970432000 is an abundant number, since it is smaller than the sum of its proper divisors (374562531840).

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

125970432000 is an equidigital number, since it uses as much as digits as its factorization.

125970432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 125970432000 in words is "one hundred twenty-five billion, nine hundred seventy million, four hundred thirty-two thousand".