12485541120 has 288 divisors, whose sum is σ = 43595674752. Its totient is φ = 3026681856.

The previous prime is 12485541077. The next prime is 12485541127. The reversal of 12485541120 is 2114558421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12485541127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3342774 + ... + 3346506.

Almost surely, 2^12485541120 is an apocalyptic number.

12485541120 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 12485541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797837376).

12485541120 is an abundant number, since it is smaller than the sum of its proper divisors (31110133632).

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

12485541120 is a wasteful number, since it uses less digits than its factorization.

12485541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 12485541120 in words is "twelve billion, four hundred eighty-five million, five hundred forty-one thousand, one hundred twenty".