125300200400 has 120 divisors (see below), whose sum is σ = 317174282880. Its totient is φ = 47475141120.

The previous prime is 125300200393. The next prime is 125300200439. The reversal of 125300200400 is 4002003521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881486 + ... + 1013714.

It is an arithmetic number, because the mean of its divisors is an integer number (2643119024).

Almost surely, 2^125300200400 is an apocalyptic number.

125300200400 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 125300200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158587141440).

125300200400 is an abundant number, since it is smaller than the sum of its proper divisors (191874082480).

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

125300200400 is a wasteful number, since it uses less digits than its factorization.

125300200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132373 (or 132362 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 125300200400 its reverse (4002003521), we get a palindrome (129302203921).

The spelling of 125300200400 in words is "one hundred twenty-five billion, three hundred million, two hundred thousand, four hundred".