125919487512 has 768 divisors, whose sum is σ = 463832678400. Its totient is φ = 29930757120.

The previous prime is 125919487501. The next prime is 125919487523. The reversal of 125919487512 is 215784919521.

125919487512 is a `hidden beast` number, since 1 + 2 + 591 + 9 + 48 + 7 + 5 + 1 + 2 = 666.

125919487512 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (125919487501) and next prime (125919487523).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258561333 + ... + 258561819.

It is an arithmetic number, because the mean of its divisors is an integer number (603948800).

Almost surely, 2^125919487512 is an apocalyptic number.

125919487512 is a gapful number since it is divisible by the number (12) 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 125919487512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231916339200).

125919487512 is an abundant number, since it is smaller than the sum of its proper divisors (337913190888).

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

125919487512 is a wasteful number, since it uses less digits than its factorization.

125919487512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 629 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 125919487512 in words is "one hundred twenty-five billion, nine hundred nineteen million, four hundred eighty-seven thousand, five hundred twelve".