125433011424 has 288 divisors, whose sum is σ = 399307708800. Its totient is φ = 34333178880.

The previous prime is 125433011377. The next prime is 125433011437. The reversal of 125433011424 is 424110334521.

It is a junction number, because it is equal to n+sod(n) for n = 125433011391 and 125433011400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17866987 + ... + 17874005.

It is an arithmetic number, because the mean of its divisors is an integer number (1386485100).

Almost surely, 2^125433011424 is an apocalyptic number.

125433011424 is a gapful number since it is divisible by the number (14) 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 125433011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199653854400).

125433011424 is an abundant number, since it is smaller than the sum of its proper divisors (273874697376).

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

125433011424 is a wasteful number, since it uses less digits than its factorization.

125433011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 125433011424 its reverse (424110334521), we get a palindrome (549543345945).

The spelling of 125433011424 in words is "one hundred twenty-five billion, four hundred thirty-three million, eleven thousand, four hundred twenty-four".