125230325246208 has 1152 divisors, whose sum is σ = 480096813056000. Its totient is φ = 31962122035200.

The previous prime is 125230325246203. The next prime is 125230325246209. The reversal of 125230325246208 is 802642523032521.

125230325246208 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 30 + 32 + 524 + 62 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×125230325246208² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125230325246203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 955373313 + ... + 955504383.

Almost surely, 2^{125230325246208} is an apocalyptic number.

125230325246208 is a gapful number since it is divisible by the number (18) 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 125230325246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240048406528000).

125230325246208 is an abundant number, since it is smaller than the sum of its proper divisors (354866487809792).

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

125230325246208 is a wasteful number, since it uses less digits than its factorization.

125230325246208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131161 (or 131127 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 125230325246208 its reverse (802642523032521), we get a palindrome (927872848278729).

The spelling of 125230325246208 in words is "one hundred twenty-five trillion, two hundred thirty billion, three hundred twenty-five million, two hundred forty-six thousand, two hundred eight".