125444121000 has 512 divisors, whose sum is σ = 438972618240. Its totient is φ = 29568000000.

The previous prime is 125444120981. The next prime is 125444121001. The reversal of 125444121000 is 121444521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (125444121001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 203312692 + ... + 203313308.

It is an arithmetic number, because the mean of its divisors is an integer number (857368395).

Almost surely, 2^125444121000 is an apocalyptic number.

125444121000 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 125444121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219486309120).

125444121000 is an abundant number, since it is smaller than the sum of its proper divisors (313528497240).

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

125444121000 is a wasteful number, since it uses less digits than its factorization.

125444121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 125444121000 its reverse (121444521), we get a palindrome (125565565521).

The spelling of 125444121000 in words is "one hundred twenty-five billion, four hundred forty-four million, one hundred twenty-one thousand".