125204446224 has 1200 divisors, whose sum is σ = 475575186240. Its totient is φ = 31240857600.

The previous prime is 125204446223. The next prime is 125204446267. The reversal of 125204446224 is 422644402521.

125204446224 is a `hidden beast` number, since 1 + 2 + 5 + 20 + 4 + 4 + 4 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125204446223) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3383903934 + ... + 3383903970.

Almost surely, 2^125204446224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125204446224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237787593120).

125204446224 is an abundant number, since it is smaller than the sum of its proper divisors (350370740016).

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

125204446224 is a wasteful number, since it uses less digits than its factorization.

125204446224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 125204446224 its reverse (422644402521), we get a palindrome (547848848745).

The spelling of 125204446224 in words is "one hundred twenty-five billion, two hundred four million, four hundred forty-six thousand, two hundred twenty-four".