12125925504 has 768 divisors, whose sum is σ = 46407029760. Its totient is φ = 3060633600.

The previous prime is 12125925479. The next prime is 12125925517. The reversal of 12125925504 is 40552952121.

12125925504 is a `hidden beast` number, since 1 + 2 + 12 + 5 + 92 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 146095447 + ... + 146095529.

It is an arithmetic number, because the mean of its divisors is an integer number (60425820).

Almost surely, 2^12125925504 is an apocalyptic number.

12125925504 is a gapful number since it is divisible by the number (14) 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 12125925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23203514880).

12125925504 is an abundant number, since it is smaller than the sum of its proper divisors (34281104256).

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

12125925504 is an equidigital number, since it uses as much as digits as its factorization.

12125925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12125925504 in words is "twelve billion, one hundred twenty-five million, nine hundred twenty-five thousand, five hundred four".