125331214350400 has 336 divisors, whose sum is σ = 320641324070400. Its totient is φ = 48165120000000.

The previous prime is 125331214350389. The next prime is 125331214350413. The reversal of 125331214350400 is 4053412133521.

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, 22178587575 + ... + 22178593225.

Almost surely, 2^{125331214350400} is an apocalyptic number.

125331214350400 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 125331214350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160320662035200).

125331214350400 is an abundant number, since it is smaller than the sum of its proper divisors (195310109720000).

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

125331214350400 is a wasteful number, since it uses less digits than its factorization.

125331214350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 125331214350400 its reverse (4053412133521), we get a palindrome (129384626483921).

The spelling of 125331214350400 in words is "one hundred twenty-five trillion, three hundred thirty-one billion, two hundred fourteen million, three hundred fifty thousand, four hundred".