23205142125 has 48 divisors (see below), whose sum is σ = 45633991104. Its totient is φ = 11250972000.

The previous prime is 23205142123. The next prime is 23205142133. The reversal of 23205142125 is 52124150232.

23205142125 is a `hidden beast` number, since 2 + 3 + 20 + 514 + 2 + 125 = 666.

It is not a de Polignac number, because 23205142125 - 2¹ = 23205142123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205142123) 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 47 ways as a sum of consecutive naturals, for example, 925207 + ... + 949956.

It is an arithmetic number, because the mean of its divisors is an integer number (950708148).

Almost surely, 2^23205142125 is an apocalyptic number.

23205142125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23205142125 is a deficient number, since it is larger than the sum of its proper divisors (22428848979).

23205142125 is a wasteful number, since it uses less digits than its factorization.

23205142125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875195 (or 1875182 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 23205142125 its reverse (52124150232), we get a palindrome (75329292357).

The spelling of 23205142125 in words is "twenty-three billion, two hundred five million, one hundred forty-two thousand, one hundred twenty-five".