125244002400 has 432 divisors, whose sum is σ = 471704184000. Its totient is φ = 28762905600.

The previous prime is 125244002393. The next prime is 125244002461. The reversal of 125244002400 is 4200442521.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5506251 + ... + 5528949.

Almost surely, 2^125244002400 is an apocalyptic number.

125244002400 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 125244002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235852092000).

125244002400 is an abundant number, since it is smaller than the sum of its proper divisors (346460181600).

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

125244002400 is a wasteful number, since it uses less digits than its factorization.

125244002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22763 (or 22739 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 125244002400 its reverse (4200442521), we get a palindrome (129444444921).

The spelling of 125244002400 in words is "one hundred twenty-five billion, two hundred forty-four million, two thousand, four hundred".