125211498834240 has 2688 divisors, whose sum is σ = 549987459840000. Its totient is φ = 25448369356800.

The previous prime is 125211498834229. The next prime is 125211498834311. The reversal of 125211498834240 is 42438894112521.

125211498834240 is a `hidden beast` number, since 1 + 2 + 5 + 211 + 4 + 9 + 88 + 342 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 209034221461 + ... + 209034222059.

It is an arithmetic number, because the mean of its divisors is an integer number (204608430000).

Almost surely, 2^{125211498834240} is an apocalyptic number.

125211498834240 is a gapful number since it is divisible by the number (10) 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 125211498834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274993729920000).

125211498834240 is an abundant number, since it is smaller than the sum of its proper divisors (424775961005760).

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

125211498834240 is a wasteful number, since it uses less digits than its factorization.

125211498834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 125211498834240 in words is "one hundred twenty-five trillion, two hundred eleven billion, four hundred ninety-eight million, eight hundred thirty-four thousand, two hundred forty".