12125293205328 has 60 divisors (see below), whose sum is σ = 34490275073748. Its totient is φ = 3975505966080.

The previous prime is 12125293205261. The next prime is 12125293205329. The reversal of 12125293205328 is 82350239252121.

12125293205328 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 5 + 2 + 93 + 20 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6884893192464 + 5240400012864 = 2623908^2 + 2289192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125293205329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690183225 + ... + 690200792.

Almost surely, 2^{12125293205328} is an apocalyptic number.

12125293205328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12125293205328 is an abundant number, since it is smaller than the sum of its proper divisors (22364981868420).

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

12125293205328 is a wasteful number, since it uses less digits than its factorization.

12125293205328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380384092 (or 1380384083 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12125293205328 in words is "twelve trillion, one hundred twenty-five billion, two hundred ninety-three million, two hundred five thousand, three hundred twenty-eight".