125522124012400 has 240 divisors, whose sum is σ = 321277608345600. Its totient is φ = 46994199598080.

The previous prime is 125522124012379. The next prime is 125522124012443. The reversal of 125522124012400 is 4210421225521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230410734 + ... + 230954866.

It is an arithmetic number, because the mean of its divisors is an integer number (1338656701440).

Almost surely, 2^{125522124012400} is an apocalyptic number.

125522124012400 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 125522124012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160638804172800).

125522124012400 is an abundant number, since it is smaller than the sum of its proper divisors (195755484333200).

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

125522124012400 is a wasteful number, since it uses less digits than its factorization.

125522124012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544536 (or 544525 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 125522124012400 its reverse (4210421225521), we get a palindrome (129732545237921).

The spelling of 125522124012400 in words is "one hundred twenty-five trillion, five hundred twenty-two billion, one hundred twenty-four million, twelve thousand, four hundred".