125414819712 has 384 divisors, whose sum is σ = 470312256960. Its totient is φ = 31130320896.

The previous prime is 125414819683. The next prime is 125414819713. The reversal of 125414819712 is 217918414521.

It is a happy number.

125414819712 is a `hidden beast` number, since 1 + 2 + 541 + 4 + 8 + 1 + 97 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125414819713) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1746958 + ... + 1817330.

Almost surely, 2^125414819712 is an apocalyptic number.

125414819712 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 125414819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235156128480).

125414819712 is an abundant number, since it is smaller than the sum of its proper divisors (344897437248).

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

125414819712 is a wasteful number, since it uses less digits than its factorization.

125414819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70430 (or 70415 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 125414819712 in words is "one hundred twenty-five billion, four hundred fourteen million, eight hundred nineteen thousand, seven hundred twelve".