125080211424 has 288 divisors, whose sum is σ = 393343776000. Its totient is φ = 34679715840.

The previous prime is 125080211419. The next prime is 125080211453. The reversal of 125080211424 is 424112080521.

It is a junction number, because it is equal to n+sod(n) for n = 125080211391 and 125080211400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38378307 + ... + 38381565.

It is an arithmetic number, because the mean of its divisors is an integer number (1365777000).

Almost surely, 2^125080211424 is an apocalyptic number.

125080211424 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 125080211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196671888000).

125080211424 is an abundant number, since it is smaller than the sum of its proper divisors (268263564576).

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

125080211424 is a wasteful number, since it uses less digits than its factorization.

125080211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 125080211424 its reverse (424112080521), we get a palindrome (549192291945).

The spelling of 125080211424 in words is "one hundred twenty-five billion, eighty million, two hundred eleven thousand, four hundred twenty-four".