125311512102400 has 120 divisors (see below), whose sum is σ = 334351297116144. Its totient is φ = 46268865945600.

The previous prime is 125311512102391. The next prime is 125311512102407. The reversal of 125311512102400 is 4201215113521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125311512102407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 376370596 + ... + 376703395.

Almost surely, 2^{125311512102400} is an apocalyptic number.

125311512102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125311512102400 is an abundant number, since it is smaller than the sum of its proper divisors (209039785013744).

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

125311512102400 is an equidigital number, since it uses as much as digits as its factorization.

125311512102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753074032 (or 753074011 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 125311512102400 its reverse (4201215113521), we get a palindrome (129512727215921).

The spelling of 125311512102400 in words is "one hundred twenty-five trillion, three hundred eleven billion, five hundred twelve million, one hundred two thousand, four hundred".