125319720960 has 1248 divisors, whose sum is σ = 535815641088. Its totient is φ = 26471301120.

The previous prime is 125319720917. The next prime is 125319721073. The reversal of 125319720960 is 69027913521.

It is a happy number.

125319720960 is a `hidden beast` number, since 1 + 2 + 531 + 9 + 7 + 20 + 96 + 0 = 666.

It is a super-2 number, since 2×125319720960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1216696269 + ... + 1216696371.

It is an arithmetic number, because the mean of its divisors is an integer number (429339456).

Almost surely, 2^125319720960 is an apocalyptic number.

125319720960 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 125319720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267907820544).

125319720960 is an abundant number, since it is smaller than the sum of its proper divisors (410495920128).

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

125319720960 is a wasteful number, since it uses less digits than its factorization.

125319720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 125319720960 in words is "one hundred twenty-five billion, three hundred nineteen million, seven hundred twenty thousand, nine hundred sixty".