125233313587200 has 2016 divisors, whose sum is σ = 572575142595456. Its totient is φ = 26421897461760.

The previous prime is 125233313587139. The next prime is 125233313587201. The reversal of 125233313587200 is 2785313332521.

125233313587200 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 33 + 13 + 587 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125233313587201) 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 143 ways as a sum of consecutive naturals, for example, 4528728574 + ... + 4528756226.

It is an arithmetic number, because the mean of its divisors is an integer number (284015447716).

Almost surely, 2^{125233313587200} is an apocalyptic number.

125233313587200 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 125233313587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286287571297728).

125233313587200 is an abundant number, since it is smaller than the sum of its proper divisors (447341829008256).

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

125233313587200 is an equidigital number, since it uses as much as digits as its factorization.

125233313587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27724 (or 27683 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 125233313587200 in words is "one hundred twenty-five trillion, two hundred thirty-three billion, three hundred thirteen million, five hundred eighty-seven thousand, two hundred".