125261230080 has 416 divisors, whose sum is σ = 482181235200. Its totient is φ = 27122466816.

The previous prime is 125261230063. The next prime is 125261230103. The reversal of 125261230080 is 80032162521.

It is a super-2 number, since 2×125261230080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8163856 + ... + 8179184.

Almost surely, 2^125261230080 is an apocalyptic number.

125261230080 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 125261230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241090617600).

125261230080 is an abundant number, since it is smaller than the sum of its proper divisors (356920005120).

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

125261230080 is a wasteful number, since it uses less digits than its factorization.

125261230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387 (or 15365 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 125261230080 in words is "one hundred twenty-five billion, two hundred sixty-one million, two hundred thirty thousand, eighty".