125044133433200 has 120 divisors (see below), whose sum is σ = 301760402950800. Its totient is φ = 49794284206080.

The previous prime is 125044133433187. The next prime is 125044133433221. The reversal of 125044133433200 is 2334331440521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001950004 + ... + 1002074796.

It is an arithmetic number, because the mean of its divisors is an integer number (2514670024590).

Almost surely, 2^{125044133433200} is an apocalyptic number.

125044133433200 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 125044133433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150880201475400).

125044133433200 is an abundant number, since it is smaller than the sum of its proper divisors (176716269517600).

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

125044133433200 is a wasteful number, since it uses less digits than its factorization.

125044133433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135979 (or 135968 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 125044133433200 its reverse (2334331440521), we get a palindrome (127378464873721).

The spelling of 125044133433200 in words is "one hundred twenty-five trillion, forty-four billion, one hundred thirty-three million, four hundred thirty-three thousand, two hundred".