125249011830 has 128 divisors (see below), whose sum is σ = 349022822400. Its totient is φ = 31901392512.

The previous prime is 125249011801. The next prime is 125249011841. The reversal of 125249011830 is 38110942521.

125249011830 is a `hidden beast` number, since 1 + 2 + 52 + 490 + 118 + 3 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4388667 + ... + 4417113.

It is an arithmetic number, because the mean of its divisors is an integer number (2726740800).

Almost surely, 2^125249011830 is an apocalyptic number.

125249011830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125249011830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174511411200).

125249011830 is an abundant number, since it is smaller than the sum of its proper divisors (223773810570).

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

125249011830 is a wasteful number, since it uses less digits than its factorization.

125249011830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29195 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 125249011830 in words is "one hundred twenty-five billion, two hundred forty-nine million, eleven thousand, eight hundred thirty".