125242112000 has 192 divisors, whose sum is σ = 314897375520. Its totient is φ = 49717248000.

The previous prime is 125242111979. The next prime is 125242112077. The reversal of 125242112000 is 211242521.

125242112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35070215 + ... + 35073785.

Almost surely, 2^125242112000 is an apocalyptic number.

125242112000 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 125242112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157448687760).

125242112000 is an abundant number, since it is smaller than the sum of its proper divisors (189655263520).

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

125242112000 is an equidigital number, since it uses as much as digits as its factorization.

125242112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 125242112000 its reverse (211242521), we get a palindrome (125453354521).

The spelling of 125242112000 in words is "one hundred twenty-five billion, two hundred forty-two million, one hundred twelve thousand".