125204235300 has 540 divisors, whose sum is σ = 432063346176. Its totient is φ = 31316284800.

The previous prime is 125204235293. The next prime is 125204235319. The reversal of 125204235300 is 3532402521.

It is a happy number.

125204235300 is a `hidden beast` number, since 125 + 2 + 0 + 4 + 2 + 3 + 530 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×125204235300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1215575049 + ... + 1215575151.

Almost surely, 2^125204235300 is an apocalyptic number.

125204235300 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 125204235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216031673088).

125204235300 is an abundant number, since it is smaller than the sum of its proper divisors (306859110876).

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

125204235300 is a wasteful number, since it uses less digits than its factorization.

125204235300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 125204235300 its reverse (3532402521), we get a palindrome (128736637821).

The spelling of 125204235300 in words is "one hundred twenty-five billion, two hundred four million, two hundred thirty-five thousand, three hundred".