125973120 has 384 divisors, whose sum is σ = 507911040. Its totient is φ = 26320896.

The previous prime is 125973073. The next prime is 125973121. The reversal of 125973120 is 21379521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125973121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222989 + ... + 1223091.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^125973120 is an apocalyptic number.

125973120 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 125973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

125973120 is an abundant number, since it is smaller than the sum of its proper divisors (381937920).

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

125973120 is a wasteful number, since it uses less digits than its factorization.

125973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 125973120 is about 11223.7747660936. The cubic root of 125973120 is about 501.2941408424.

The spelling of 125973120 in words is "one hundred twenty-five million, nine hundred seventy-three thousand, one hundred twenty".