125010302400 has 1344 divisors, whose sum is σ = 526109184000. Its totient is φ = 28764979200.

The previous prime is 125010302363. The next prime is 125010302413. The reversal of 125010302400 is 4203010521.

125010302400 is a `hidden beast` number, since 1 + 250 + 10 + 3 + 0 + 2 + 400 = 666.

It is a super-2 number, since 2×125010302400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4032590385 + ... + 4032590415.

Almost surely, 2^125010302400 is an apocalyptic number.

125010302400 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 125010302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263054592000).

125010302400 is an abundant number, since it is smaller than the sum of its proper divisors (401098881600).

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

125010302400 is a wasteful number, since it uses less digits than its factorization.

125010302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 125010302400 its reverse (4203010521), we get a palindrome (129213312921).

The spelling of 125010302400 in words is "one hundred twenty-five billion, ten million, three hundred two thousand, four hundred".