12125306880 has 256 divisors, whose sum is σ = 43127272800. Its totient is φ = 3232235520.

The previous prime is 12125306827. The next prime is 12125306909. The reversal of 12125306880 is 8860352121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422310 + ... + 4425050.

Almost surely, 2^12125306880 is an apocalyptic number.

12125306880 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 12125306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563636400).

12125306880 is an abundant number, since it is smaller than the sum of its proper divisors (31001965920).

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

12125306880 is an frugal number, since it uses more digits than its factorization.

12125306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12125306880 in words is "twelve billion, one hundred twenty-five million, three hundred six thousand, eight hundred eighty".