125240029241856 has 160 divisors (see below), whose sum is σ = 336793919077440. Its totient is φ = 41353026256896.

The previous prime is 125240029241851. The next prime is 125240029241969. The reversal of 125240029241856 is 658142920042521.

It is a super-2 number, since 2×125240029241856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125240029241799 and 125240029241808.

It is not an unprimeable number, because it can be changed into a prime (125240029241851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2568633030 + ... + 2568681786.

It is an arithmetic number, because the mean of its divisors is an integer number (2104961994234).

Almost surely, 2^{125240029241856} is an apocalyptic number.

125240029241856 is a gapful number since it is divisible by the number (16) 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 125240029241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168396959538720).

125240029241856 is an abundant number, since it is smaller than the sum of its proper divisors (211553889835584).

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

125240029241856 is a wasteful number, since it uses less digits than its factorization.

125240029241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64514 (or 64498 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 125240029241856 in words is "one hundred twenty-five trillion, two hundred forty billion, twenty-nine million, two hundred forty-one thousand, eight hundred fifty-six".